{
  "schema": "statistical-method-study-v1",
  "evidence_kind": "exact_enumeration_of_synthetic_population",
  "authority": "lab_only",
  "monte_carlo_error": "none; enumeration with floating-point arithmetic",
  "studies": [
    {
      "n": 30,
      "loss_probability": 0,
      "hidden_loss_probability": 0.0,
      "true_difference": 0,
      "observed_difference": -0.0,
      "margin": 0.03,
      "confidence": 0.95,
      "enumerated_probability_mass": 1.0,
      "methods": {
        "clustered_normal_interval": {
          "coverage_probability": 1.0,
          "promotion_probability": 1.0,
          "false_promotion_probability": 0.0,
          "no_interval_probability": 0.0
        },
        "exact_binomial_special_case": {
          "coverage_probability": 1.0,
          "promotion_probability": 0.0,
          "false_promotion_probability": 0.0,
          "no_interval_probability": 0.0
        }
      },
      "count_outcomes": [
        {
          "observed_losses": 0,
          "probability": 1.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": 0.0,
              "upper": 0.0,
              "promote": true
            },
            "exact_binomial_special_case": {
              "lower": -0.11570330822202773,
              "upper": -0.0,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 1,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.09866546615133512,
              "upper": 0.03199879948466846,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.17216945563341263,
              "upper": -0.0008435709266305658,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 2,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.15745328735776004,
              "upper": 0.02411995402442671,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.22073540152296184,
              "upper": -0.008178134460656405,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 3,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.2091868524772022,
              "upper": 0.00918685247720219,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.265288450474208,
              "upper": -0.02111713702972251,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 4,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.25705464253534016,
              "upper": -0.00961202413132653,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.30721835027612665,
              "upper": -0.037553496338363246,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 5,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3023051246601475,
              "upper": -0.03102820867318587,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3472116988341437,
              "upper": -0.05642169646807149,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 6,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.34558246996960296,
              "upper": -0.05441753003039709,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3856665109966072,
              "upper": -0.07713551200106572,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 7,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.38726953822828925,
              "upper": -0.07939712843837746,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4228365229782195,
              "upper": -0.09933786495801988,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 8,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4276141429807852,
              "upper": -0.10571919035254812,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.45889365139475113,
              "upper": -0.1227948098723548,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 9,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4667856721235851,
              "upper": -0.13321432787641482,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.49395904146255376,
              "upper": -0.14734518475470115,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 10,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.504903919562322,
              "upper": -0.16176274710434474,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5281200447898806,
              "upper": -0.17287422152603926,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 11,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5420551127844538,
              "upper": -0.19127822054887944,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5614401509880425,
              "upper": -0.19929862501203455,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 12,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5783013834597912,
              "upper": -0.2216986165402088,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5939650699481813,
              "upper": -0.22655764882859364,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 13,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.613686583914379,
              "upper": -0.2529800827522876,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6257265493907793,
              "upper": -0.25460754990326295,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 14,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6482399080488535,
              "upper": -0.2850934252844799,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6567447618392659,
              "upper": -0.283418079183537,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 15,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6819780874620036,
              "upper": -0.3180219125379964,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6870297141319726,
              "upper": -0.31297028586802744,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 16,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7149065747155201,
              "upper": -0.35176009195114655,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.716581920816463,
              "upper": -0.3432552381607341,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 17,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7470199172477123,
              "upper": -0.3863134160856209,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.745392450096737,
              "upper": -0.3742734506092207,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 18,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7783013834597912,
              "upper": -0.4216986165402088,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7734423511714064,
              "upper": -0.4060349300518187,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 19,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8087217794511206,
              "upper": -0.4579448872155461,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8007013749879655,
              "upper": -0.43855984901195755,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 20,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8382372528956552,
              "upper": -0.49509608043767805,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8271257784739607,
              "upper": -0.4718799552101194,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 21,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8667856721235851,
              "upper": -0.5332143278764148,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8526548152452988,
              "upper": -0.5060409585374462,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 22,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8942808096474518,
              "upper": -0.5723858570192147,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8772051901276452,
              "upper": -0.5411063486052489,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 23,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9206028715616226,
              "upper": -0.6127304617717109,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9006621350419801,
              "upper": -0.5771634770217805,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 24,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9455824699696029,
              "upper": -0.6544175300303972,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9228644879989343,
              "upper": -0.6143334890033928,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 25,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9689717913268141,
              "upper": -0.6976948753398526,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9435783035319285,
              "upper": -0.6527883011658563,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 26,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9903879758686736,
              "upper": -0.7429453574646598,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9624465036616368,
              "upper": -0.6927816497238733,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 27,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -1.0091868524772023,
              "upper": -0.7908131475227979,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9788828629702775,
              "upper": -0.734711549525792,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 28,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -1.0241199540244268,
              "upper": -0.84254671264224,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9918218655393436,
              "upper": -0.7792645984770381,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 29,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -1.0319987994846684,
              "upper": -0.9013345338486649,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9991564290733694,
              "upper": -0.8278305443665874,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 30,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -1.0,
              "upper": -1.0,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -1.0,
              "upper": -0.8842966917779722,
              "promote": false
            }
          }
        }
      ]
    },
    {
      "n": 30,
      "loss_probability": 0.01,
      "hidden_loss_probability": 0.0,
      "true_difference": -0.01,
      "observed_difference": -0.01,
      "margin": 0.03,
      "confidence": 0.95,
      "enumerated_probability_mass": 0.9999999999999997,
      "methods": {
        "clustered_normal_interval": {
          "coverage_probability": 0.26028805903719404,
          "promotion_probability": 0.7397003733882802,
          "false_promotion_probability": 0.0,
          "no_interval_probability": 0.0
        },
        "exact_binomial_special_case": {
          "coverage_probability": 0.996682290681117,
          "promotion_probability": 0.0,
          "false_promotion_probability": 0.0,
          "no_interval_probability": 0.0
        }
      },
      "count_outcomes": [
        {
          "observed_losses": 0,
          "probability": 0.7397003733882802,
          "decisions": {
            "clustered_normal_interval": {
              "lower": 0.0,
              "upper": 0.0,
              "promote": true
            },
            "exact_binomial_special_case": {
              "lower": -0.11570330822202773,
              "upper": -0.0,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 1,
          "probability": 0.22415162829947885,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.09866546615133512,
              "upper": 0.03199879948466846,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.17216945563341263,
              "upper": -0.0008435709266305658,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 2,
          "probability": 0.03283028899335802,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.15745328735776004,
              "upper": 0.02411995402442671,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.22073540152296184,
              "upper": -0.008178134460656405,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 3,
          "probability": 0.0030951114202492414,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.2091868524772022,
              "upper": 0.00918685247720219,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.265288450474208,
              "upper": -0.02111713702972251,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 4,
          "probability": 0.00021103032410790278,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.25705464253534016,
              "upper": -0.00961202413132653,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.30721835027612665,
              "upper": -0.037553496338363246,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 5,
          "probability": 1.108442106425348e-05,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3023051246601475,
              "upper": -0.03102820867318587,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3472116988341437,
              "upper": -0.05642169646807149,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 6,
          "probability": 4.665160380578064e-07,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.34558246996960296,
              "upper": -0.05441753003039709,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3856665109966072,
              "upper": -0.07713551200106572,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 7,
          "probability": 1.615639958641754e-08,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.38726953822828925,
              "upper": -0.07939712843837746,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4228365229782195,
              "upper": -0.09933786495801988,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 8,
          "probability": 4.691883718277821e-10,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4276141429807852,
              "upper": -0.10571919035254812,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.45889365139475113,
              "upper": -0.1227948098723548,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 9,
          "probability": 1.1584898069821781e-11,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4667856721235851,
              "upper": -0.13321432787641482,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.49395904146255376,
              "upper": -0.14734518475470115,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 10,
          "probability": 2.457402620871287e-13,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.504903919562322,
              "upper": -0.16176274710434474,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5281200447898806,
              "upper": -0.17287422152603926,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 11,
          "probability": 4.513136126485376e-15,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5420551127844538,
              "upper": -0.19127822054887944,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5614401509880425,
              "upper": -0.19929862501203455,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 12,
          "probability": 7.217978653469876e-17,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5783013834597912,
              "upper": -0.2216986165402088,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5939650699481813,
              "upper": -0.22655764882859364,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 13,
          "probability": 1.009507503981801e-18,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.613686583914379,
              "upper": -0.2529800827522876,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6257265493907793,
              "upper": -0.25460754990326295,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 14,
          "probability": 1.2382126672215451e-20,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6482399080488535,
              "upper": -0.2850934252844799,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6567447618392659,
              "upper": -0.283418079183537,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 15,
          "probability": 1.334101190272372e-22,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6819780874620036,
              "upper": -0.3180219125379964,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6870297141319726,
              "upper": -0.31297028586802744,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 16,
          "probability": 1.26335339987914e-24,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7149065747155201,
              "upper": -0.35176009195114655,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.716581920816463,
              "upper": -0.3432552381607341,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 17,
          "probability": 1.0509178608620297e-26,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7470199172477123,
              "upper": -0.3863134160856209,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.745392450096737,
              "upper": -0.3742734506092207,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 18,
          "probability": 7.666628614593934e-29,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7783013834597912,
              "upper": -0.4216986165402088,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7734423511714064,
              "upper": -0.4060349300518187,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 19,
          "probability": 4.890991141686719e-31,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8087217794511206,
              "upper": -0.4579448872155461,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8007013749879655,
              "upper": -0.43855984901195755,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 20,
          "probability": 2.7172173009370665e-33,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8382372528956552,
              "upper": -0.49509608043767805,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8271257784739607,
              "upper": -0.4718799552101194,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 21,
          "probability": 1.306982828733558e-35,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8667856721235851,
              "upper": -0.5332143278764148,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8526548152452988,
              "upper": -0.5060409585374462,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 22,
          "probability": 5.400755490634536e-38,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8942808096474518,
              "upper": -0.5723858570192147,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8772051901276452,
              "upper": -0.5411063486052489,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 23,
          "probability": 1.8974986352690512e-40,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9206028715616226,
              "upper": -0.6127304617717109,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9006621350419801,
              "upper": -0.5771634770217805,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 24,
          "probability": 5.59027375710579e-43,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9455824699696029,
              "upper": -0.6544175300303972,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9228644879989343,
              "upper": -0.6143334890033928,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 25,
          "probability": 1.3552178805104947e-45,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9689717913268141,
              "upper": -0.6976948753398526,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9435783035319285,
              "upper": -0.6527883011658563,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 26,
          "probability": 2.6325133654050016e-48,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9903879758686736,
              "upper": -0.7429453574646598,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9624465036616368,
              "upper": -0.6927816497238733,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 27,
          "probability": 3.9394139400000026e-51,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -1.0091868524772023,
              "upper": -0.7908131475227979,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9788828629702775,
              "upper": -0.734711549525792,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 28,
          "probability": 4.2634350000000024e-54,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -1.0241199540244268,
              "upper": -0.84254671264224,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9918218655393436,
              "upper": -0.7792645984770381,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 29,
          "probability": 2.9700000000000014e-57,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -1.0319987994846684,
              "upper": -0.9013345338486649,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9991564290733694,
              "upper": -0.8278305443665874,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 30,
          "probability": 1.0000000000000007e-60,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -1.0,
              "upper": -1.0,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -1.0,
              "upper": -0.8842966917779722,
              "promote": false
            }
          }
        }
      ]
    },
    {
      "n": 30,
      "loss_probability": 0.04,
      "hidden_loss_probability": 0.0,
      "true_difference": -0.04,
      "observed_difference": -0.04,
      "margin": 0.03,
      "confidence": 0.95,
      "enumerated_probability_mass": 0.999999999999999,
      "methods": {
        "clustered_normal_interval": {
          "coverage_probability": 0.7050815115582632,
          "promotion_probability": 0.29385764323070546,
          "false_promotion_probability": 0.29385764323070546,
          "no_interval_probability": 0.0
        },
        "exact_binomial_special_case": {
          "coverage_probability": 0.9936800244688335,
          "promotion_probability": 0.0,
          "false_promotion_probability": 0.0,
          "no_interval_probability": 0.0
        }
      },
      "count_outcomes": [
        {
          "observed_losses": 0,
          "probability": 0.29385764323070546,
          "decisions": {
            "clustered_normal_interval": {
              "lower": 0.0,
              "upper": 0.0,
              "promote": true
            },
            "exact_binomial_special_case": {
              "lower": -0.11570330822202773,
              "upper": -0.0,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 1,
          "probability": 0.3673220540383818,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.09866546615133512,
              "upper": 0.03199879948466846,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.17216945563341263,
              "upper": -0.0008435709266305658,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 2,
          "probability": 0.2219237409815224,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.15745328735776004,
              "upper": 0.02411995402442671,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.22073540152296184,
              "upper": -0.008178134460656405,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 3,
          "probability": 0.08630367704836985,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.2091868524772022,
              "upper": 0.00918685247720219,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.265288450474208,
              "upper": -0.02111713702972251,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 4,
          "probability": 0.02427290916985401,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.25705464253534016,
              "upper": -0.00961202413132653,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.30721835027612665,
              "upper": -0.037553496338363246,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 5,
          "probability": 0.005259130320135037,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3023051246601475,
              "upper": -0.03102820867318587,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3472116988341437,
              "upper": -0.05642169646807149,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 6,
          "probability": 0.0009130434583567772,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.34558246996960296,
              "upper": -0.05441753003039709,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3856665109966072,
              "upper": -0.07713551200106572,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 7,
          "probability": 0.00013043477976525388,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.38726953822828925,
              "upper": -0.07939712843837746,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4228365229782195,
              "upper": -0.09933786495801988,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 8,
          "probability": 1.5624999659379375e-05,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4276141429807852,
              "upper": -0.10571919035254812,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.45889365139475113,
              "upper": -0.1227948098723548,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 9,
          "probability": 1.5914351504923438e-06,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4667856721235851,
              "upper": -0.13321432787641482,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.49395904146255376,
              "upper": -0.14734518475470115,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 10,
          "probability": 1.3925057566808009e-07,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.504903919562322,
              "upper": -0.16176274710434474,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5281200447898806,
              "upper": -0.17287422152603926,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 11,
          "probability": 1.0549286035460615e-08,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5420551127844538,
              "upper": -0.19127822054887944,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5614401509880425,
              "upper": -0.19929862501203455,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 12,
          "probability": 6.959598426171933e-10,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5783013834597912,
              "upper": -0.2216986165402088,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5939650699481813,
              "upper": -0.22655764882859364,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 13,
          "probability": 4.0151529381761155e-11,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.613686583914379,
              "upper": -0.2529800827522876,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6257265493907793,
              "upper": -0.25460754990326295,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 14,
          "probability": 2.0314761889581538e-12,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6482399080488535,
              "upper": -0.2850934252844799,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6567447618392659,
              "upper": -0.283418079183537,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 15,
          "probability": 9.028783062036239e-14,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6819780874620036,
              "upper": -0.3180219125379964,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6870297141319726,
              "upper": -0.31297028586802744,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 16,
          "probability": 3.5268683836079058e-15,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7149065747155201,
              "upper": -0.35176009195114655,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.716581920816463,
              "upper": -0.3432552381607341,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 17,
          "probability": 1.2101999355517327e-16,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7470199172477123,
              "upper": -0.3863134160856209,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.745392450096737,
              "upper": -0.3742734506092207,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 18,
          "probability": 3.64180536161401e-18,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7783013834597912,
              "upper": -0.4216986165402088,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7734423511714064,
              "upper": -0.4060349300518187,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 19,
          "probability": 9.58369832003687e-20,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8087217794511206,
              "upper": -0.4579448872155461,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8007013749879655,
              "upper": -0.43855984901195755,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 20,
          "probability": 2.1962641983417825e-21,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8382372528956552,
              "upper": -0.49509608043767805,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8271257784739607,
              "upper": -0.4718799552101194,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 21,
          "probability": 4.3576670602019506e-23,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8667856721235851,
              "upper": -0.5332143278764148,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8526548152452988,
              "upper": -0.5060409585374462,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 22,
          "probability": 7.427841579889688e-25,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8942808096474518,
              "upper": -0.5723858570192147,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8772051901276452,
              "upper": -0.5411063486052489,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 23,
          "probability": 1.0764987796941577e-26,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9206028715616226,
              "upper": -0.6127304617717109,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9006621350419801,
              "upper": -0.5771634770217805,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 24,
          "probability": 1.3082450447672056e-28,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9455824699696029,
              "upper": -0.6544175300303972,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9228644879989343,
              "upper": -0.6143334890033928,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 25,
          "probability": 1.3082450447672059e-30,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9689717913268141,
              "upper": -0.6976948753398526,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9435783035319285,
              "upper": -0.6527883011658563,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 26,
          "probability": 1.0482732730506457e-32,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9903879758686736,
              "upper": -0.7429453574646598,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9624465036616368,
              "upper": -0.6927816497238733,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 27,
          "probability": 6.470822673152135e-35,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -1.0091868524772023,
              "upper": -0.7908131475227979,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9788828629702775,
              "upper": -0.734711549525792,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 28,
          "probability": 2.8887601219429176e-37,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -1.0241199540244268,
              "upper": -0.84254671264224,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9918218655393436,
              "upper": -0.7792645984770381,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 29,
          "probability": 8.301034833169303e-40,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -1.0319987994846684,
              "upper": -0.9013345338486649,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9991564290733694,
              "upper": -0.8278305443665874,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 30,
          "probability": 1.1529215046068477e-42,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -1.0,
              "upper": -1.0,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -1.0,
              "upper": -0.8842966917779722,
              "promote": false
            }
          }
        }
      ]
    },
    {
      "n": 100,
      "loss_probability": 0.04,
      "hidden_loss_probability": 0.0,
      "true_difference": -0.04,
      "observed_difference": -0.04,
      "margin": 0.03,
      "confidence": 0.95,
      "enumerated_probability_mass": 0.9999999999999966,
      "methods": {
        "clustered_normal_interval": {
          "coverage_probability": 0.9059922245297641,
          "promotion_probability": 0.08716331668738954,
          "false_promotion_probability": 0.08716331668738954,
          "no_interval_probability": 0.0
        },
        "exact_binomial_special_case": {
          "coverage_probability": 0.9641377593298457,
          "promotion_probability": 0.0,
          "false_promotion_probability": 0.0,
          "no_interval_probability": 0.0
        }
      },
      "count_outcomes": [
        {
          "observed_losses": 0,
          "probability": 0.016870319358849587,
          "decisions": {
            "clustered_normal_interval": {
              "lower": 0.0,
              "upper": 0.0,
              "promote": true
            },
            "exact_binomial_special_case": {
              "lower": -0.03621669264517641,
              "upper": -0.0,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 1,
          "probability": 0.07029299732853996,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.02959963984540054,
              "upper": 0.009599639845400536,
              "promote": true
            },
            "exact_binomial_special_case": {
              "lower": -0.05445938539208067,
              "upper": -0.00025314603297732496,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 2,
          "probability": 0.14497930699011366,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.04757773089412426,
              "upper": 0.0075777308941242585,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.07038393247107017,
              "upper": -0.002431336823942587,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 3,
          "probability": 0.19733294562543255,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.06360291769471767,
              "upper": 0.0036029176947176694,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.08517605297428005,
              "upper": -0.006229971538306289,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 4,
          "probability": 0.1993884971423641,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.07860078225965264,
              "upper": -0.001399217740347354,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.09925715671265994,
              "upper": -0.01100449398618819,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 5,
          "probability": 0.1595107977138913,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.09293162216415973,
              "upper": -0.00706837783584028,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.11283491110546279,
              "upper": -0.016431879182052134,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 6,
          "probability": 0.10523281793624774,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.10678105866015791,
              "upper": -0.013218941339842076,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.12602993458082296,
              "upper": -0.022334886071316395,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 7,
          "probability": 0.05888026717861481,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.12025982684226055,
              "upper": -0.019740173157739453,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.13891972845585737,
              "upper": -0.02860528890743863,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 8,
          "probability": 0.028520129414641545,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.13344036317422256,
              "upper": -0.026559636825777437,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.151557635864421,
              "upper": -0.03517156251816278,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 9,
          "probability": 0.012147462528458438,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.1463731683986407,
              "upper": -0.03362683160135929,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.1639822550296352,
              "upper": -0.04198359562839227,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 10,
          "probability": 0.004605912875373825,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.15909513763026628,
              "upper": -0.04090486236973374,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.17622259774002264,
              "upper": -0.04900468922148593,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 11,
          "probability": 0.0015701975711501677,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.17163421083220448,
              "upper": -0.048365789167795506,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.18830113219644257,
              "upper": -0.05620702028548741,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 12,
          "probability": 0.0004852346660846005,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.18401215568473744,
              "upper": -0.05598784431526253,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.20023568361996885,
              "upper": -0.06356890256115921,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 13,
          "probability": 0.00013686105966488732,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.19624632580781676,
              "upper": -0.06375367419218325,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.21204067708744972,
              "upper": -0.07107304618542964,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 14,
          "probability": 3.5437238663229756e-05,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.20835082126641685,
              "upper": -0.07164917873358317,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.22372798137056776,
              "upper": -0.07870540492696576,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 15,
          "probability": 8.46556256954933e-06,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.22033728264357264,
              "upper": -0.07966271735642735,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.2353075001489549,
              "upper": -0.08645438564164865,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 16,
          "probability": 1.8738875479471177e-06,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.2322154510385409,
              "upper": -0.08778454896145908,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.24678759741086237,
              "upper": -0.0943102899739463,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 17,
          "probability": 3.8580037751852415e-07,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.2439935732671959,
              "upper": -0.09600642673280411,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.25817541063215865,
              "upper": -0.10226491003552818,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 18,
          "probability": 7.412368364360534e-08,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.2556787016149576,
              "upper": -0.10432129838504241,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.26947708596681197,
              "upper": -0.11031122915326064,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 19,
          "probability": 1.3329258900823767e-08,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.2672769198954875,
              "upper": -0.11272308010451249,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.2806979579736125,
              "upper": -0.11844319613254362,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 20,
          "probability": 2.2493124395140108e-09,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.278793516840355,
              "upper": -0.12120648315964498,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.291842689088628,
              "upper": -0.1266555521019559,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 21,
          "probability": 3.570337205577796e-10,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.29023312109558586,
              "upper": -0.12976687890441416,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3029153793505407,
              "upper": -0.13494369570532916,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 22,
          "probability": 5.3419818038001117e-11,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3015998077359039,
              "upper": -0.1384001922640961,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3139196537863179,
              "upper": -0.14330357674981453,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 23,
          "probability": 7.548452548847984e-12,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3128971833144163,
              "upper": -0.14710281668558375,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.324858732775103,
              "upper": -0.15173161130104762,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 24,
          "probability": 1.0090813303147479e-12,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.32412845450572175,
              "upper": -0.15587154549427823,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3357354892709986,
              "upper": -0.1602246131714471,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 25,
          "probability": 1.2781696850653475e-13,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3352964840465805,
              "upper": -0.16470351595341948,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3465524957588083,
              "upper": -0.16877973809934188,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 26,
          "probability": 1.5362616407035427e-14,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3464038367263037,
              "upper": -0.1735961632736963,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.35731206310010355,
              "upper": -0.1773944378676524,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 27,
          "probability": 1.7543728612972556e-15,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3574528174987681,
              "upper": -0.1825471825012319,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.36801627290897476,
              "upper": -0.18606642229074066,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 28,
          "probability": 1.9057919475401735e-16,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3684455032946834,
              "upper": -0.19155449670531663,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.37866700471726744,
              "upper": -0.19479362749118145,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 29,
          "probability": 1.9715089112484553e-17,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3793837697502,
              "upper": -0.20061623024979996,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3892659589074484,
              "upper": -0.2035741892507319,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 30,
          "probability": 1.944126843036672e-18,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.39026931379817614,
              "upper": -0.20973068620182383,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.39981467617980415,
              "upper": -0.21240642048953662,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 31,
          "probability": 1.8291515996312771e-19,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.40110367286536985,
              "upper": -0.21889632713463014,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.41031455416019924,
              "upper": -0.22128879213067099,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 32,
          "probability": 1.6433783902937255e-20,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.41188824126435863,
              "upper": -0.22811175873564138,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4207668616316226,
              "upper": -0.23021991676157705,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 33,
          "probability": 1.4109814462117846e-21,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4226242842503171,
              "upper": -0.23737571574968291,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.43117275077756323,
              "upper": -0.23919853462260177,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 34,
          "probability": 1.158526432551343e-22,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4333129501207631,
              "upper": -0.24668704987923698,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4415332677509588,
              "upper": -0.24822350154484418,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 35,
          "probability": 9.102707684331982e-24,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.44395528066440115,
              "upper": -0.2560447193355988,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4518493618239695,
              "upper": -0.2572937785314511,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 36,
          "probability": 6.848101845851606e-25,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.454552220208426,
              "upper": -0.26544777979157397,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.46212189332742326,
              "upper": -0.2664084227332346,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 37,
          "probability": 4.9355688979110674e-26,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4651046234685196,
              "upper": -0.2748953765314804,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4723516405516831,
              "upper": -0.27556657961455144,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 38,
          "probability": 3.409439041320146e-27,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4756132623696368,
              "upper": -0.2843867376303632,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4825393057508066,
              "upper": -0.28476747614147957,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 39,
          "probability": 2.2583891085667633e-28,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4860788319765131,
              "upper": -0.29392116802348695,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.49268552036763646,
              "upper": -0.29401041485341706,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 40,
          "probability": 1.4350180794017976e-29,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.49650195564913163,
              "upper": -0.3034980443508684,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5027908495776652,
              "upper": -0.3032947687028775,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 41,
          "probability": 8.750110240254863e-31,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5068831895189914,
              "upper": -0.31311681048100853,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5128557962332292,
              "upper": -0.3126199765675708,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 42,
          "probability": 5.12159230332378e-32,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5172230263660238,
              "upper": -0.3227769736339761,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5228808042760862,
              "upper": -0.321985539354797,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 43,
          "probability": 2.8784142789997986e-33,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5275218989627163,
              "upper": -0.3324781010372837,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5328662616751538,
              "upper": -0.33139101663138315,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 44,
          "probability": 1.5536895255964824e-34,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.537780182940869,
              "upper": -0.34221981705913096,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5428125029366824,
              "upper": -0.3408360237234582,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 45,
          "probability": 8.056167910500278e-36,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5479981992270027,
              "upper": -0.3520018007729973,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5527198112260641,
              "upper": -0.3503202292396721,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 46,
          "probability": 4.0134894481659005e-37,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5581762160843996,
              "upper": -0.3618237839156005,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5625884201335287,
              "upper": -0.35984335297941206,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 47,
          "probability": 1.9213513315687823e-38,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5683144507928312,
              "upper": -0.3716855492071688,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5724185151099548,
              "upper": -0.3694051641943945,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 48,
          "probability": 8.839550396974432e-40,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5784130709909575,
              "upper": -0.38158692900904245,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5822102345936933,
              "upper": -0.37900548017795854,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 49,
          "probability": 3.9086447333560427e-41,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5884721957010017,
              "upper": -0.3915278042989983,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5919636708445464,
              "upper": -0.3886441651616379,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 50,
          "probability": 1.6611740116763183e-42,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5984918960504437,
              "upper": -0.4015081039495562,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6016788704966991,
              "upper": -0.3983211295033009,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 51,
          "probability": 6.785841550965352e-44,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6084721957010018,
              "upper": -0.4115278042989983,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6113558348383621,
              "upper": -0.4080363291554536,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 52,
          "probability": 2.6643127884399216e-45,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6184130709909575,
              "upper": -0.4215869290090425,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6209945198220415,
              "upper": -0.41778976540630675,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 53,
          "probability": 1.0054010522414801e-46,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6283144507928312,
              "upper": -0.43168554920716884,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6305948358056055,
              "upper": -0.4275814848900452,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 54,
          "probability": 3.6461303592090714e-48,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6381762160843996,
              "upper": -0.4418237839156005,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6401566470205879,
              "upper": -0.4374115798664713,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 55,
          "probability": 1.2706211857849794e-49,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6479981992270027,
              "upper": -0.45200180077299734,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6496797707603279,
              "upper": -0.44728018877393594,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 56,
          "probability": 4.254312005976494e-51,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6577801829408692,
              "upper": -0.462219817059131,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6591639762765418,
              "upper": -0.4571874970633176,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 57,
          "probability": 1.3683459668345448e-52,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6675218989627162,
              "upper": -0.47247810103728366,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6686089833686168,
              "upper": -0.46713373832484617,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 58,
          "probability": 4.2269307883538387e-54,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6772230263660238,
              "upper": -0.4827769736339761,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.678014460645203,
              "upper": -0.4771191957239138,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 59,
          "probability": 1.2537506575625795e-55,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6868831895189914,
              "upper": -0.4931168104810085,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6873800234324292,
              "upper": -0.4871442037667708,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 60,
          "probability": 3.569706733337899e-57,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6965019556491316,
              "upper": -0.5034980443508683,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6967052312971225,
              "upper": -0.4972091504223348,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 61,
          "probability": 9.753297085622677e-59,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.706078831976513,
              "upper": -0.513921168023487,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7059895851465829,
              "upper": -0.5073144796323635,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 62,
          "probability": 2.5563077038930406e-60,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7156132623696368,
              "upper": -0.5243867376303631,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7152325238585204,
              "upper": -0.5174606942491934,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 63,
          "probability": 6.42458285369944e-62,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7251046234685197,
              "upper": -0.5348953765314803,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7244334203854486,
              "upper": -0.5276483594483169,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 64,
          "probability": 1.547588317622912e-63,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.734552220208426,
              "upper": -0.545447779791574,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7335915772667654,
              "upper": -0.5378781066725767,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 65,
          "probability": 3.5713576560528748e-65,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7439552806644012,
              "upper": -0.5560447193355988,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7427062214685489,
              "upper": -0.5481506381760305,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 66,
          "probability": 7.89125744708653e-67,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.753312950120763,
              "upper": -0.566687049879237,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7517764984551558,
              "upper": -0.5584667322490412,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 67,
          "probability": 1.668549460204863e-68,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7626242842503171,
              "upper": -0.5773757157496829,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7608014653773982,
              "upper": -0.5688272492224368,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 68,
          "probability": 3.373905158502481e-70,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7718882412643587,
              "upper": -0.5881117587356414,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.769780083238423,
              "upper": -0.5792331383683774,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 69,
          "probability": 6.519623494690785e-72,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7811036728653699,
              "upper": -0.59889632713463,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.778711207869329,
              "upper": -0.5896854458398008,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 70,
          "probability": 1.203025763901276e-73,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7902693137981761,
              "upper": -0.6097306862018238,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7875935795104634,
              "upper": -0.6001853238201958,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 71,
          "probability": 2.1180031054599928e-75,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7993837697502,
              "upper": -0.6206162302498,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7964258107492681,
              "upper": -0.6107340410925516,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 72,
          "probability": 3.5545191005983675e-77,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8084455032946833,
              "upper": -0.6315544967053166,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8052063725088185,
              "upper": -0.6213329952827326,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 73,
          "probability": 5.680738288627529e-79,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8174528174987681,
              "upper": -0.6425471825012319,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8139335777092593,
              "upper": -0.6319837270910252,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 74,
          "probability": 8.636257533386446e-81,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8264038367263037,
              "upper": -0.6535961632736963,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8226055621323476,
              "upper": -0.6426879368998965,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 75,
          "probability": 1.2474594214891532e-82,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8352964840465805,
              "upper": -0.6647035159534195,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8312202619006581,
              "upper": -0.6534475042411917,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 76,
          "probability": 1.7097853912954406e-84,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8441284545057217,
              "upper": -0.6758715454942783,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8397753868285529,
              "upper": -0.6642645107290014,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 77,
          "probability": 2.2205005081758968e-86,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8528971833144162,
              "upper": -0.6871028166855838,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8482683886989524,
              "upper": -0.675141267224897,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 78,
          "probability": 2.72817904316483e-88,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8615998077359039,
              "upper": -0.6984001922640961,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8566964232501855,
              "upper": -0.6860803462136821,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 79,
          "probability": 3.165608594389572e-90,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8702331210955858,
              "upper": -0.7097668789044143,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8650563042946708,
              "upper": -0.6970846206494593,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 80,
          "probability": 3.462384400113594e-92,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8787935168403551,
              "upper": -0.721206483159645,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8733444478980441,
              "upper": -0.708157310911372,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 81,
          "probability": 3.562123868429624e-94,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8872769198954875,
              "upper": -0.7327230801045126,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8815568038674564,
              "upper": -0.7193020420263875,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 82,
          "probability": 3.4390423526505517e-96,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8956787016149576,
              "upper": -0.7443212983850424,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8896887708467394,
              "upper": -0.730522914033188,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 83,
          "probability": 3.107568390949294e-98,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9039935732671959,
              "upper": -0.756006426732804,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8977350899644718,
              "upper": -0.7418245893678413,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 84,
          "probability": 2.6204693772885914e-100,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9122154510385408,
              "upper": -0.7677845489614591,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9056897100260537,
              "upper": -0.7532124025891376,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 85,
          "probability": 2.0552700998341894e-102,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9203372826435726,
              "upper": -0.7796627173564273,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9135456143583514,
              "upper": -0.7646924998510451,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 86,
          "probability": 1.4936555958097306e-104,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9283508212664169,
              "upper": -0.7916491787335831,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9212945950730342,
              "upper": -0.7762720186294323,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 87,
          "probability": 1.0014932155812372e-106,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9362463258078167,
              "upper": -0.8037536741921832,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9289269538145704,
              "upper": -0.7879593229125503,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 88,
          "probability": 6.164494224695115e-109,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9440121556847375,
              "upper": -0.8159878443152625,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9364310974388408,
              "upper": -0.7997643163800312,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 89,
          "probability": 3.463199002637706e-111,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9516342108322045,
              "upper": -0.8283657891677956,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9437929797145126,
              "upper": -0.8116988678035575,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 90,
          "probability": 1.7636661587506836e-113,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9590951376302663,
              "upper": -0.8409048623697337,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9509953107785141,
              "upper": -0.8237774022599773,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 91,
          "probability": 8.075394499774192e-116,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9663731683986407,
              "upper": -0.8536268316013593,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9580164043716077,
              "upper": -0.8360177449703647,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 92,
          "probability": 3.291601018929698e-118,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9734403631742226,
              "upper": -0.8665596368257775,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9648284374818372,
              "upper": -0.8484423641355789,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 93,
          "probability": 1.1797853114443363e-120,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9802598268422607,
              "upper": -0.8797401731577394,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9713947110925614,
              "upper": -0.8610802715441426,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 94,
          "probability": 3.6606813741623915e-123,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9867810586601579,
              "upper": -0.893218941339842,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9776651139286836,
              "upper": -0.8739700654191771,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 95,
          "probability": 9.633372037269452e-126,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9929316221641596,
              "upper": -0.9070683778358403,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9835681208179479,
              "upper": -0.8871650888945373,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 96,
          "probability": 2.090575528921322e-128,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9986007822596527,
              "upper": -0.9213992177403473,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9889955060138118,
              "upper": -0.9007428432873401,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 97,
          "probability": 3.5920541734043334e-131,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -1.0036029176947177,
              "upper": -0.9363970823052823,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9937700284616937,
              "upper": -0.91482394702572,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 98,
          "probability": 4.581701751791243e-134,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -1.0075777308941243,
              "upper": -0.9524222691058757,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9975686631760574,
              "upper": -0.9296160675289298,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 99,
          "probability": 3.856651306221585e-137,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -1.0095996398454006,
              "upper": -0.9704003601545994,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9997468539670227,
              "upper": -0.9455406146079193,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 100,
          "probability": 1.6069380442589935e-140,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -1.0,
              "upper": -1.0,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -1.0,
              "upper": -0.9637833073548236,
              "promote": false
            }
          }
        }
      ]
    },
    {
      "n": 200,
      "loss_probability": 0.01,
      "hidden_loss_probability": 0.0,
      "true_difference": -0.01,
      "observed_difference": -0.01,
      "margin": 0.03,
      "confidence": 0.95,
      "enumerated_probability_mass": 0.9999999999999982,
      "methods": {
        "clustered_normal_interval": {
          "coverage_probability": 0.8650077679915158,
          "promotion_probability": 0.6766786945356559,
          "false_promotion_probability": 0.0,
          "no_interval_probability": 0.0
        },
        "exact_binomial_special_case": {
          "coverage_probability": 0.9839770930908207,
          "promotion_probability": 0.4046456846720258,
          "false_promotion_probability": 0.0,
          "no_interval_probability": 0.0
        }
      },
      "count_outcomes": [
        {
          "observed_losses": 0,
          "probability": 0.13397967485796172,
          "decisions": {
            "clustered_normal_interval": {
              "lower": 0.0,
              "upper": 0.0,
              "promote": true
            },
            "exact_binomial_special_case": {
              "lower": -0.018275340355136283,
              "upper": -0.0,
              "promote": true
            }
          }
        },
        {
          "observed_losses": 1,
          "probability": 0.2706660098140641,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.01479981992270027,
              "upper": 0.004799819922700268,
              "promote": true
            },
            "exact_binomial_special_case": {
              "lower": -0.027541898457205616,
              "upper": -0.00012658102786700098,
              "promote": true
            }
          }
        },
        {
          "observed_losses": 2,
          "probability": 0.27203300986363005,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.023824172683247283,
              "upper": 0.0038241726832472806,
              "promote": true
            },
            "exact_binomial_special_case": {
              "lower": -0.0356546683972398,
              "upper": -0.0012133490137360425,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 3,
          "probability": 0.18135533990908673,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.0318882752102357,
              "upper": 0.0018882752102357021,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.04320828191771259,
              "upper": -0.0031041076215534424,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 4,
          "probability": 0.09021970192446989,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.03945134283587169,
              "upper": -0.0005486571641283057,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.05041360908989628,
              "upper": -0.005475565879556443,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 5,
          "probability": 0.03572335672160829,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.04669171376360354,
              "upper": -0.003308286236396469,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.05737435112684591,
              "upper": -0.008166166190842539,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 6,
          "probability": 0.011727364580325954,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.05370107514918111,
              "upper": -0.006298924850818885,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.06415062670502697,
              "upper": -0.011087455672254887,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 7,
          "probability": 0.0032829851783307863,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.06053402220163695,
              "upper": -0.009465977798363057,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.07078099835097723,
              "upper": -0.014185525898419149,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 8,
          "probability": 0.0008000203780528306,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.06722620843418672,
              "upper": -0.012773791565813274,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.07729196822601608,
              "upper": -0.017424808994480623,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 9,
          "probability": 0.000172394963620812,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.07380245425222313,
              "upper": -0.016197545747776862,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.08370268807585407,
              "upper": -0.02078042222700427,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 10,
          "probability": 3.326003843593443e-05,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.08028087062061735,
              "upper": -0.019719129379382652,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.09002753770135136,
              "upper": -0.02423416547210855,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 11,
          "probability": 5.8029451816598195e-06,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.08667515887056071,
              "upper": -0.023324841129439285,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.0962776444339129,
              "upper": -0.027772254552006492,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 12,
          "probability": 9.231958243549713e-07,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.09299598555505639,
              "upper": -0.02700401444494361,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.10246183130832448,
              "upper": -0.031383953893483474,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 13,
          "probability": 1.348568880953649e-07,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.0992518502473261,
              "upper": -0.030748149752673898,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.10858723650381513,
              "upper": -0.03506070865697897,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 14,
          "probability": 1.8194976965247642e-08,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.10544965778851116,
              "upper": -0.03455034221148885,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.11465973353711051,
              "upper": -0.03879557042956283,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 15,
          "probability": 2.278966811808795e-09,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.11159510949049586,
              "upper": -0.038404890509504123,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.12068422539966134,
              "upper": -0.042582803737092556,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 16,
          "probability": 2.6616720971251715e-10,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.11769297877936613,
              "upper": -0.042307021220633866,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.12666485602208172,
              "upper": -0.046417608399822674,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 17,
          "probability": 2.909968305829065e-11,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.12374731047754987,
              "upper": -0.04625268952245014,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.13260516582955234,
              "upper": -0.050295918630257175,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 18,
          "probability": 2.9883512904978615e-12,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.12976156811001144,
              "upper": -0.05023843188998855,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.13850820847382211,
              "upper": -0.0542142544560964,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 19,
          "probability": 2.891440376770924e-13,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.13573874491478655,
              "upper": -0.054261255085213456,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.14437663997685252,
              "upper": -0.05816960972512031,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 20,
          "probability": 2.6431853949269556e-14,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.14168144893401077,
              "upper": -0.05831855106598923,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.15021278786775577,
              "upper": -0.06215936625406604,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 21,
          "probability": 2.288472203399962e-15,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.1475919692264467,
              "upper": -0.06240803077355328,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.1560187055475028,
              "upper": -0.06618122702871165,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 22,
          "probability": 1.880792123088123e-16,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.15347232808668237,
              "upper": -0.06652767191331761,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.16179621556950013,
              "upper": -0.07023316352921172,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 23,
          "probability": 1.4702722789182514e-17,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.15932432272812816,
              "upper": -0.07067567727187185,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.167546944482254,
              "upper": -0.07431337369229696,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 24,
          "probability": 1.0952785916183943e-18,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.1651495589201035,
              "upper": -0.0748504410798965,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.17327235116412226,
              "upper": -0.07842024799636271,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 25,
          "probability": 7.788647762619693e-20,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.17094947840176283,
              "upper": -0.07905052159823717,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.1789737500787995,
              "upper": -0.08255234182881699,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 26,
          "probability": 5.295312192923257e-21,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.17672538142647715,
              "upper": -0.08327461857352286,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.1846523305234125,
              "upper": -0.08670835276857525,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 27,
          "probability": 3.447004570028608e-22,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.1824784454552486,
              "upper": -0.08752155454475141,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.19030917268339836,
              "upper": -0.09088710175489778,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 28,
          "probability": 2.1512690859125152e-23,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.18820974077492839,
              "upper": -0.09179025922507164,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.19594526111961424,
              "upper": -0.09508751735901977,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 29,
          "probability": 1.288813245478762e-24,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.1939202436386625,
              "upper": -0.09607975636133748,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.2015614961731797,
              "upper": -0.09930862255520756,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 30,
          "probability": 7.420439898211056e-26,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.19961084739336693,
              "upper": -0.10038915260663306,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.20715870366855066,
              "upper": -0.10354952352186264,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 31,
          "probability": 4.110377265219549e-27,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.20528237195927934,
              "upper": -0.10471762804072066,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.21273764321570593,
              "upper": -0.10780940010409656,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 32,
          "probability": 2.192720195145529e-28,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.21093557195081086,
              "upper": -0.10906442804918913,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.21829901535134083,
              "upper": -0.11208749764580195,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 33,
          "probability": 1.127569613665286e-29,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.21657114366971786,
              "upper": -0.11342885633028217,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.22384346771182068,
              "upper": -0.11638311995805384,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 34,
          "probability": 5.594299628107628e-31,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.2221897311565279,
              "upper": -0.11781026884347212,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.2293716003938862,
              "upper": -0.12069562323621752,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 35,
          "probability": 2.680097368732659e-32,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.22779193145093452,
              "upper": -0.12220806854906546,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.2348839706302091,
              "upper": -0.12502441077371196,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 36,
          "probability": 1.2407858188577124e-33,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.2333782991841368,
              "upper": -0.1266217008158632,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.24038109688400738,
              "upper": -0.1293689283483972,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 37,
          "probability": 5.555251823441574e-35,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.23894935060409717,
              "upper": -0.13105064939590283,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.24586346244867835,
              "upper": -0.1337286601797616,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 38,
          "probability": 2.406980455132846e-36,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.24450556711711124,
              "upper": -0.13549443288288876,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.25133151862374425,
              "upper": -0.13810312537283975,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 39,
          "probability": 1.0099218692865088e-37,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.2500473984149439,
              "upper": -0.13995260158505612,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.25678568752655917,
              "upper": -0.1424918747790589,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 40,
          "probability": 4.1059954786648464e-39,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.25557526524534774,
              "upper": -0.1444247347546523,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.26222636458960025,
              "upper": -0.1468944882157588,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 41,
          "probability": 1.6185249484759188e-40,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.2610895618744653,
              "upper": -0.14891043812553467,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.26765392078528516,
              "upper": -0.15131057199551945,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 42,
          "probability": 6.189164665889155e-42,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.26659065828199674,
              "upper": -0.15340934171800327,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.27306870461379884,
              "upper": -0.15573975672412832,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 43,
          "probability": 2.297129474302294e-43,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.2720789021237402,
              "upper": -0.15792109787625982,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.2784710438840571,
              "upper": -0.16018169533233628,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 44,
          "probability": 8.279369317388894e-45,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.2775546204909287,
              "upper": -0.16244537950907129,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.2838612473135075,
              "upper": -0.16463606131178432,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 45,
          "probability": 2.899173094304528e-46,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.28301812149147615,
              "upper": -0.16698187850852386,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.28923960596876463,
              "upper": -0.1691025471298251,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 46,
          "probability": 9.867629108853796e-48,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.2884696956746491,
              "upper": -0.17153030432535094,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.2946063945659808,
              "upper": -0.17358086280159002,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 47,
          "probability": 3.2658819745615407e-49,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.29390961731766724,
              "upper": -0.17609038268233274,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.29996187264724916,
              "upper": -0.17807073460068645,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 48,
          "probability": 1.0515150296883747e-50,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.29933814559019734,
              "upper": -0.18066185440980265,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.30530628564713946,
              "upper": -0.18257190389247158,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 49,
          "probability": 3.2947904455294368e-52,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3047555256105613,
              "upper": -0.18524447438943867,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.31063986586159864,
              "upper": -0.18708412607600078,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 50,
          "probability": 1.0050774894443331e-53,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3101619894056619,
              "upper": -0.18983801059433808,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3159628333298691,
              "upper": -0.1916071696225865,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 51,
          "probability": 2.985969962698554e-55,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3155577567850811,
              "upper": -0.1944422432149189,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3212753966387206,
              "upper": -0.19614081520045734,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 52,
          "probability": 8.642376154663647e-57,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3209430361384845,
              "upper": -0.1990569638615155,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3265777536571398,
              "upper": -0.2006848548763398,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 53,
          "probability": 2.437719975014713e-58,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3263180251643329,
              "upper": -0.20368197483566716,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3318700922086181,
              "upper": -0.20523909138592233,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 54,
          "probability": 6.703045947010153e-60,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.33168291153692747,
              "upper": -0.20831708846307256,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3371525906873306,
              "upper": -0.20980333746614455,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 55,
          "probability": 1.7973272879035486e-61,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.33703787351797787,
              "upper": -0.21296212648202217,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.34242541862375064,
              "upper": -0.21437741524309484,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 56,
          "probability": 4.700801889358128e-63,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3423830805181529,
              "upper": -0.21761691948184714,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.34768873720460813,
              "upper": -0.21896115567003238,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 57,
          "probability": 1.1995666703306224e-64,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.34771869361344837,
              "upper": -0.22228130638655158,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3529426997515398,
              "upper": -0.22355439801068444,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 58,
          "probability": 2.987426573620325e-66,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.35304486602065555,
              "upper": -0.22695513397934441,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3581874521622911,
              "upper": -0.22815698936351136,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 59,
          "probability": 7.262704561788842e-68,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.35836174353573885,
              "upper": -0.23163825646426112,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.36342313331791043,
              "upper": -0.23276878422312408,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 60,
          "probability": 1.7239753252731084e-69,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3636694649385136,
              "upper": -0.23633053506148638,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3686498754590012,
              "upper": -0.23738964407544683,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 61,
          "probability": 3.996630990863308e-71,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.36896816236664937,
              "upper": -0.24103183763335062,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.37386780453377033,
              "upper": -0.24201943702359063,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 62,
          "probability": 9.050695792277612e-73,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.37425796166170344,
              "upper": -0.24574203833829655,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.37907704052032576,
              "upper": -0.24665803744172532,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 63,
          "probability": 2.0025589535582984e-74,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.37953898268960723,
              "upper": -0.2504610173103928,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3842776977254271,
              "upper": -0.25130532565451746,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 64,
          "probability": 4.330028040364377e-76,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3848113396377781,
              "upper": -0.25518866036222193,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.38946988506165814,
              "upper": -0.25596118763995745,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 65,
          "probability": 9.1512636128913e-78,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3900751412908106,
              "upper": -0.2599248587091894,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.39465370630480756,
              "upper": -0.26062551475361495,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 66,
          "probability": 1.8907569448122524e-79,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.39533049128650444,
              "upper": -0.2646695087134956,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.39982926033305477,
              "upper": -0.2652982034725615,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 67,
          "probability": 3.8197109996207115e-81,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.40057748835381424,
              "upper": -0.2694225116461858,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4049966413494098,
              "upper": -0.26997915515736937,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 68,
          "probability": 7.546369027771162e-83,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4058162265341518,
              "upper": -0.27418377346584827,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4101559390887147,
              "upper": -0.27466827583075504,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 69,
          "probability": 1.458235560921964e-84,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4110467953873347,
              "upper": -0.27895320461266526,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.41530723901038924,
              "upper": -0.2793654759715658,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 70,
          "probability": 2.7565491844268005e-86,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4162692801833524,
              "upper": -0.28373071981664755,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4204506224779935,
              "upper": -0.28407067032294164,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 71,
          "probability": 5.098184577827346e-88,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.42148376208101046,
              "upper": -0.2885162379189895,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4255861669265796,
              "upper": -0.2887837777135842,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 72,
          "probability": 9.226512493542753e-90,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4266903182944172,
              "upper": -0.29330968170558275,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4307139460187174,
              "upper": -0.2935047208911665,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 73,
          "probability": 1.6341408595177424e-91,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.43188902224818726,
              "upper": -0.2981109777518127,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4358340297899971,
              "upper": -0.29823342636701167,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 74,
          "probability": 2.832867719884703e-93,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.43707994372215764,
              "upper": -0.30292005627784235,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.44094648478474074,
              "upper": -0.30296982427123686,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 75,
          "probability": 4.80729067616798e-95,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4422631489863411,
              "upper": -0.3077368510136589,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.44605137418258545,
              "upper": -0.3077138482176407,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 76,
          "probability": 7.986594026063232e-97,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.44743870092677596,
              "upper": -0.31256129907322405,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.45114875791655173,
              "upper": -0.31246543517767034,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 77,
          "probability": 1.2991442466638341e-98,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4526066591628745,
              "upper": -0.3173933408371255,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4562386927831451,
              "upper": -0.3172245253628674,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 78,
          "probability": 2.069343982642471e-100,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4577670801568178,
              "upper": -0.32223291984318225,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.46132123254499857,
              "upper": -0.3219910621152404,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 79,
          "probability": 3.227975525922279e-102,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.46292001731549826,
              "upper": -0.3270799826845018,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.46639642802651815,
              "upper": -0.32676499180506324,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 80,
          "probability": 4.9316292757145935e-104,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.46806552108546684,
              "upper": -0.3319344789145332,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.47146432720295384,
              "upper": -0.33154626373563945,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 81,
          "probability": 7.379916611619296e-106,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.473203639041302,
              "upper": -0.336796360958698,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4765249752832771,
              "upper": -0.3363348300546172,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 82,
          "probability": 1.0818059580964475e-107,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.47833441596778176,
              "upper": -0.3416655840322182,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.48157841478722097,
              "upper": -0.34113064567146756,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 83,
          "probability": 1.5535244378164876e-109,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4834578939362071,
              "upper": -0.3465421060637929,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4866246856168027,
              "upper": -0.3459336681807801,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 84,
          "probability": 2.1856945553695173e-111,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.48857411237519355,
              "upper": -0.3514258876248064,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.49166382512261964,
              "upper": -0.35074385779105577,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 85,
          "probability": 3.0129598148884615e-113,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.49368310813622146,
              "upper": -0.3563168918637785,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4966958681651902,
              "upper": -0.3555611772587053,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 86,
          "probability": 4.069654436365669e-115,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4987849155542089,
              "upper": -0.3612150844457911,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5017208471715782,
              "upper": -0.3603855918269885,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 87,
          "probability": 5.3865157987424396e-117,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5038795665033465,
              "upper": -0.36612043349665346,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5067387921875273,
              "upper": -0.3652170691696517,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 88,
          "probability": 6.986642392767397e-119,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5089670904484143,
              "upper": -0.3710329095515857,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5117497309253032,
              "upper": -0.37005557933904365,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 89,
          "probability": 8.880989081715454e-121,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5140475144917768,
              "upper": -0.3759524855082233,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5167536888074262,
              "upper": -0.37490109471850985,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 90,
          "probability": 1.1063858451968748e-122,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5191208634162364,
              "upper": -0.3808791365837636,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5217506890064618,
              "upper": -0.37975358997888464,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 91,
          "probability": 1.350898467883852e-124,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5241871597239072,
              "upper": -0.3858128402760929,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5267407524810117,
              "upper": -0.3846130420389169,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 92,
          "probability": 1.6166878897599897e-126,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5292464236712511,
              "upper": -0.39075357632874896,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5317238980080445,
              "upper": -0.38947943002948326,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 93,
          "probability": 1.8964080818299e-128,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5342986733004095,
              "upper": -0.39570132669959057,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.536700142211679,
              "upper": -0.39435273526145687,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 94,
          "probability": 2.180482105693094e-130,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5393439244669417,
              "upper": -0.40065607553305826,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5416694995885252,
              "upper": -0.3992329411971143,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 95,
          "probability": 2.457534324332461e-132,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5443821908640717,
              "upper": -0.40561780913592826,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5466319825296759,
              "upper": -0.4041200334249786,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 96,
          "probability": 2.7150789568066963e-134,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5494134840435313,
              "upper": -0.41058651595646867,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5515876013394261,
              "upper": -0.4090139996380062,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 97,
          "probability": 2.9404166563354826e-136,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5544378134330726,
              "upper": -0.41556218656692734,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5565363642507839,
              "upper": -0.4139148296150439,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 98,
          "probability": 3.121654458900791e-138,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5594551863507137,
              "upper": -0.42054481364928625,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5614782774378335,
              "upper": -0.4188225152054852,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 99,
          "probability": 3.2487374227923755e-140,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5644656080157661,
              "upper": -0.4255343919842339,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5664133450249884,
              "upper": -0.4237370503170774,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 100,
          "probability": 3.314368481838686e-142,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5694690815566846,
              "upper": -0.43053091844331537,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5713415690931678,
              "upper": -0.4286584309068322,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 101,
          "probability": 3.3146999518338694e-144,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5744656080157661,
              "upper": -0.4355343919842339,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5762629496829226,
              "upper": -0.4335866549750116,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 102,
          "probability": 3.249705835131245e-146,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5794551863507137,
              "upper": -0.44054481364928627,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5811774847945148,
              "upper": -0.4385217225621665,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 103,
          "probability": 3.1231849744323034e-148,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5844378134330727,
              "upper": -0.44556218656692737,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5860851703849561,
              "upper": -0.4434636357492161,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 104,
          "probability": 2.9423945466194e-150,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5894134840435313,
              "upper": -0.4505865159564687,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5909860003619938,
              "upper": -0.4484123986605739,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 105,
          "probability": 2.717362929056878e-152,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5943821908640717,
              "upper": -0.4556178091359283,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5958799665750214,
              "upper": -0.45336801747032407,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 106,
          "probability": 2.4599721579988888e-154,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5993439244669417,
              "upper": -0.4606560755330583,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6007670588028857,
              "upper": -0.45833050041147483,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 107,
          "probability": 2.1829262989889128e-156,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6042986733004095,
              "upper": -0.4657013266995905,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6056472647385431,
              "upper": -0.46329985778832095,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 108,
          "probability": 1.8987293846424327e-158,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.609246423671251,
              "upper": -0.47075357632874903,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6105205699705167,
              "upper": -0.46827610199195546,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 109,
          "probability": 1.618785130081585e-160,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6141871597239071,
              "upper": -0.47581284027609294,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6153869579610831,
              "upper": -0.4732592475189883,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 110,
          "probability": 1.3527038277082114e-162,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6191208634162364,
              "upper": -0.48087913658376363,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6202464100211154,
              "upper": -0.4782493109935382,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 111,
          "probability": 1.1078655427585679e-164,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6240475144917768,
              "upper": -0.48595248550822334,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6250989052814901,
              "upper": -0.4832463111925738,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 112,
          "probability": 8.892499396240308e-167,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6289670904484144,
              "upper": -0.49103290955158574,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6299444206609564,
              "upper": -0.4882502690746968,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 113,
          "probability": 6.995083104220499e-169,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6338795665033464,
              "upper": -0.49612043349665347,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6347829308303483,
              "upper": -0.49326120781247274,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 114,
          "probability": 5.392275651844617e-171,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6387849155542088,
              "upper": -0.5012150844457911,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6396144081730115,
              "upper": -0.49827915282842183,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 115,
          "probability": 4.073216566171604e-173,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6436831081362214,
              "upper": -0.5063168918637785,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6444388227412947,
              "upper": -0.5033041318348098,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 116,
          "probability": 3.0148328816143007e-175,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6485741123751935,
              "upper": -0.5114258876248065,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6492561422089442,
              "upper": -0.5083361748773804,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 117,
          "probability": 2.1863589921056833e-177,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6534578939362071,
              "upper": -0.5165421060637928,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6540663318192199,
              "upper": -0.5133753143831973,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 118,
          "probability": 1.5533966473615107e-179,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6583344159677817,
              "upper": -0.5216655840322182,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6588693543285324,
              "upper": -0.518421585212779,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 119,
          "probability": 1.0812199735476096e-181,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.663203639041302,
              "upper": -0.526796360958698,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6636651699453828,
              "upper": -0.5234750247167229,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 120,
          "probability": 7.371954365097339e-184,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6680655210854668,
              "upper": -0.5319344789145332,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6684537362643606,
              "upper": -0.5285356727970462,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 121,
          "probability": 4.923251934283221e-186,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6729200173154982,
              "upper": -0.5370799826845017,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6732350081949368,
              "upper": -0.5336035719734818,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 122,
          "probability": 3.220209495018832e-188,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6777670801568177,
              "upper": -0.5422329198431822,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6780089378847596,
              "upper": -0.5386787674550014,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 123,
          "probability": 2.062711181830245e-190,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6826066591628744,
              "upper": -0.5473933408371255,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6827754746371326,
              "upper": -0.5437613072168549,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 124,
          "probability": 1.2938152574204043e-192,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.687438700926776,
              "upper": -0.552561299073224,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6875345648223297,
              "upper": -0.5488512420834483,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 125,
          "probability": 7.945855318299049e-195,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6922631489863411,
              "upper": -0.5577368510136589,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6922861517823593,
              "upper": -0.5539486258174146,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 126,
          "probability": 4.777450287577591e-197,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6970799437221576,
              "upper": -0.5629200562778424,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6970301757287631,
              "upper": -0.5590535152152593,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 127,
          "probability": 2.8118294860474175e-199,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7018890222481873,
              "upper": -0.5681109777518127,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7017665736329883,
              "upper": -0.5641659702100029,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 128,
          "probability": 1.6198197007691088e-201,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7066903182944173,
              "upper": -0.5733096817055827,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7064952791088335,
              "upper": -0.5692860539812826,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 129,
          "probability": 9.132175902856148e-204,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7114837620810105,
              "upper": -0.5785162379189895,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7112162222864158,
              "upper": -0.5744138330734204,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 130,
          "probability": 5.037952518281168e-206,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7162692801833525,
              "upper": -0.5837307198166476,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7159293296770584,
              "upper": -0.5795493775220065,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 131,
          "probability": 2.719227976557034e-208,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7210467953873347,
              "upper": -0.5889532046126653,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7206345240284342,
              "upper": -0.5846927609896108,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 132,
          "probability": 1.4357723475852108e-210,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7258162265341518,
              "upper": -0.5941837734658483,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.725331724169245,
              "upper": -0.5898440609112853,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 133,
          "probability": 7.414940353595682e-213,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7305774883538143,
              "upper": -0.5994225116461858,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7300208448426306,
              "upper": -0.5950033586505902,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 134,
          "probability": 3.74491937050287e-215,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7353304912865045,
              "upper": -0.6046695087134956,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7347017965274385,
              "upper": -0.6001707396669452,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 135,
          "probability": 1.849342899013763e-217,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7400751412908106,
              "upper": -0.6099248587091894,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.739374485246385,
              "upper": -0.6053462936951924,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 136,
          "probability": 8.928051725779455e-220,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7448113396377781,
              "upper": -0.615188660362222,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7440388123600425,
              "upper": -0.6105301149383419,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 137,
          "probability": 4.21289766607598e-222,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7495389826896073,
              "upper": -0.6204610173103928,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7486946743454825,
              "upper": -0.6157223022745729,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 138,
          "probability": 1.942706433631875e-224,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7542579616617033,
              "upper": -0.6257420383382966,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7533419625582747,
              "upper": -0.6209229594796742,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 139,
          "probability": 8.752837648802869e-227,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7589681623666493,
              "upper": -0.6310318376333506,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7579805629764094,
              "upper": -0.6261321954662297,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 140,
          "probability": 3.852258994061868e-229,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7636694649385135,
              "upper": -0.6363305350614864,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7626103559245532,
              "upper": -0.6313501245409988,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 141,
          "probability": 1.6558173196053594e-231,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7683617435357388,
              "upper": -0.6416382564642611,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7672312157768759,
              "upper": -0.6365768666820896,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 142,
          "probability": 6.949297329400782e-234,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7730448660206555,
              "upper": -0.6469551339793445,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7718430106364886,
              "upper": -0.6418125478377089,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 143,
          "probability": 2.8470667874920202e-236,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7777186936134484,
              "upper": -0.6522813063865516,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7764456019893156,
              "upper": -0.6470573002484602,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 144,
          "probability": 1.13834741082383e-238,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7823830805181529,
              "upper": -0.6576169194818471,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7810388443299676,
              "upper": -0.6523112627953919,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 145,
          "probability": 4.4407840477975956e-241,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7870378735179778,
              "upper": -0.6629621264820221,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7856225847569052,
              "upper": -0.6575745813762494,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 146,
          "probability": 1.6897960608057823e-243,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7916829115369275,
              "upper": -0.6683170884630725,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7901966625338555,
              "upper": -0.6628474093126694,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 147,
          "probability": 6.270115253453738e-246,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7963180251643328,
              "upper": -0.6736819748356672,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7947609086140777,
              "upper": -0.6681299077913819,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 148,
          "probability": 2.2680597081152615e-248,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8009430361384845,
              "upper": -0.6790569638615155,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7993151451236602,
              "upper": -0.6734222463428602,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 149,
          "probability": 7.995329457121116e-251,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8055577567850811,
              "upper": -0.6844422432149189,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8038591847995427,
              "upper": -0.6787246033612794,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 150,
          "probability": 2.745870722647656e-253,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8101619894056619,
              "upper": -0.6898380105943381,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8083928303774135,
              "upper": -0.6840371666701309,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 151,
          "probability": 9.184128445540358e-256,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8147555256105613,
              "upper": -0.6952444743894387,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8129158739239992,
              "upper": -0.6893601341384014,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 152,
          "probability": 2.990578773468086e-258,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8193381455901974,
              "upper": -0.7006618544098027,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8174280961075284,
              "upper": -0.6946937143528605,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 153,
          "probability": 9.476977693699619e-261,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8239096173176672,
              "upper": -0.7060903826823328,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8219292653993135,
              "upper": -0.7000381273527508,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 154,
          "probability": 2.9215397586506766e-263,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8284696956746491,
              "upper": -0.7115303043253509,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.82641913719841,
              "upper": -0.7053936054340192,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 155,
          "probability": 8.757955614071702e-266,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8330181214914761,
              "upper": -0.7169818785085239,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8308974528701749,
              "upper": -0.7107603940312354,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 156,
          "probability": 2.5518518688981027e-268,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8375546204909288,
              "upper": -0.7224453795090713,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8353639386882157,
              "upper": -0.7161387526864925,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 157,
          "probability": 7.223926026354841e-271,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8420789021237403,
              "upper": -0.7279210978762598,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8398183046676637,
              "upper": -0.7215289561159429,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 158,
          "probability": 1.9858637902359943e-273,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8465906582819968,
              "upper": -0.7334093417180033,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8442602432758717,
              "upper": -0.7269312953862012,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 159,
          "probability": 5.298658037574938e-276,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8510895618744654,
              "upper": -0.7389104381255347,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8486894280044806,
              "upper": -0.7323460792147148,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 160,
          "probability": 1.371482530759239e-278,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8555752652453478,
              "upper": -0.7444247347546523,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8531055117842412,
              "upper": -0.7377736354103998,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 161,
          "probability": 3.401016104033086e-281,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8600473984149439,
              "upper": -0.7499526015850562,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8575081252209411,
              "upper": -0.7432143124734408,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 162,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8645055671171112,
              "upper": -0.7554944328828889,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8618968746271602,
              "upper": -0.7486684813762557,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 163,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8689493506040972,
              "upper": -0.7610506493959027,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8662713398202384,
              "upper": -0.7541365375513216,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 164,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8733782991841368,
              "upper": -0.7666217008158631,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8706310716516028,
              "upper": -0.7596189031159926,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 165,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8777919314509345,
              "upper": -0.7722080685490654,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.874975589226288,
              "upper": -0.765116029369791,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 166,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8821897311565279,
              "upper": -0.777810268843472,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8793043767637825,
              "upper": -0.7706283996061138,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 167,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8865711436697178,
              "upper": -0.7834288563302821,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8836168800419462,
              "upper": -0.7761565322881794,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 168,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8909355719508109,
              "upper": -0.7890644280491891,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.887912502354198,
              "upper": -0.7817009846486591,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 169,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8952823719592793,
              "upper": -0.7947176280407207,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8921905998959034,
              "upper": -0.787262356784294,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 170,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8996108473933669,
              "upper": -0.800389152606633,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8964504764781374,
              "upper": -0.7928412963314493,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 171,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9039202436386625,
              "upper": -0.8060797563613374,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9006913774447924,
              "upper": -0.7984385038268202,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 172,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9082097407749283,
              "upper": -0.8117902592250716,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9049124826409802,
              "upper": -0.8040547388803858,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 173,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9124784454552486,
              "upper": -0.8175215545447514,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9091128982451022,
              "upper": -0.8096908273166017,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 174,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9167253814264772,
              "upper": -0.8232746185735228,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9132916472314248,
              "upper": -0.8153476694765875,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 175,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9209494784017629,
              "upper": -0.8290505215982371,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.917447658171183,
              "upper": -0.8210262499212004,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 176,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9251495589201035,
              "upper": -0.8348504410798965,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9215797520036373,
              "upper": -0.8267276488358777,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 177,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9293243227281281,
              "upper": -0.8406756772718719,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.925686626307703,
              "upper": -0.8324530555177461,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 178,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9334723280866823,
              "upper": -0.8465276719133177,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9297668364707883,
              "upper": -0.8382037844304999,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 179,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9375919692264467,
              "upper": -0.8524080307735533,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9338187729712883,
              "upper": -0.8439812944524971,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 180,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9416814489340108,
              "upper": -0.8583185510659892,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.937840633745934,
              "upper": -0.8497872121322443,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 181,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9457387449147866,
              "upper": -0.8642612550852135,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9418303902748797,
              "upper": -0.8556233600231475,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 182,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9497615681100114,
              "upper": -0.8702384318899886,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9457857455439036,
              "upper": -0.8614917915261779,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 183,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9537473104775499,
              "upper": -0.8762526895224502,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9497040813697428,
              "upper": -0.8673948341704476,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 184,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9576929787793662,
              "upper": -0.8823070212206339,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9535823916001773,
              "upper": -0.8733351439779182,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 185,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9615951094904959,
              "upper": -0.8884048905095042,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9574171962629074,
              "upper": -0.8793157746003386,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 186,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9654496577885112,
              "upper": -0.8945503422114889,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9612044295704372,
              "upper": -0.8853402664628895,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 187,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9692518502473262,
              "upper": -0.9007481497526739,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.964939291343021,
              "upper": -0.8914127634961848,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 188,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9729959855550563,
              "upper": -0.9070040144449436,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9686160461065165,
              "upper": -0.8975381686916755,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 189,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9766751588705607,
              "upper": -0.9133248411294392,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9722277454479935,
              "upper": -0.9037223555660872,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 190,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9802808706206173,
              "upper": -0.9197191293793826,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9757658345278915,
              "upper": -0.9099724622986487,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 191,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9838024542522231,
              "upper": -0.9261975457477768,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9792195777729957,
              "upper": -0.916297311924146,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 192,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9872262084341867,
              "upper": -0.9327737915658132,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9825751910055194,
              "upper": -0.922708031773984,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 193,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9905340222016369,
              "upper": -0.939465977798363,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9858144741015809,
              "upper": -0.9292190016490227,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 194,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.993701075149181,
              "upper": -0.9462989248508189,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9889125443277451,
              "upper": -0.9358493732949731,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 195,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9966917137636035,
              "upper": -0.9533082862363964,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9918338338091575,
              "upper": -0.9426256488731541,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 196,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9994513428358717,
              "upper": -0.9605486571641283,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9945244341204436,
              "upper": -0.9495863909101037,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 197,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -1.0018882752102356,
              "upper": -0.9681117247897643,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9968958923784466,
              "upper": -0.9567917180822874,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 198,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -1.0038241726832473,
              "upper": -0.9761758273167527,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.998786650986264,
              "upper": -0.9643453316027601,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 199,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -1.0047998199227002,
              "upper": -0.9852001800772997,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.999873418972133,
              "upper": -0.9724581015427944,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 200,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -1.0,
              "upper": -1.0,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -1.0,
              "upper": -0.9817246596448637,
              "promote": false
            }
          }
        }
      ]
    },
    {
      "n": 200,
      "loss_probability": 0.04,
      "hidden_loss_probability": 0.0,
      "true_difference": -0.04,
      "observed_difference": -0.04,
      "margin": 0.03,
      "confidence": 0.95,
      "enumerated_probability_mass": 0.9999999999999931,
      "methods": {
        "clustered_normal_interval": {
          "coverage_probability": 0.8979795555604213,
          "promotion_probability": 0.012489138194641983,
          "false_promotion_probability": 0.012489138194641983,
          "no_interval_probability": 0.0
        },
        "exact_binomial_special_case": {
          "coverage_probability": 0.9722613277300973,
          "promotion_probability": 0.002656338302516035,
          "false_promotion_probability": 0.002656338302516035,
          "no_interval_probability": 0.0
        }
      },
      "count_outcomes": [
        {
          "observed_losses": 0,
          "probability": 0.00028460767526957515,
          "decisions": {
            "clustered_normal_interval": {
              "lower": 0.0,
              "upper": 0.0,
              "promote": true
            },
            "exact_binomial_special_case": {
              "lower": -0.018275340355136283,
              "upper": -0.0,
              "promote": true
            }
          }
        },
        {
          "observed_losses": 1,
          "probability": 0.00237173062724646,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.01479981992270027,
              "upper": 0.004799819922700268,
              "promote": true
            },
            "exact_binomial_special_case": {
              "lower": -0.027541898457205616,
              "upper": -0.00012658102786700098,
              "promote": true
            }
          }
        },
        {
          "observed_losses": 2,
          "probability": 0.009832799892125947,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.023824172683247283,
              "upper": 0.0038241726832472806,
              "promote": true
            },
            "exact_binomial_special_case": {
              "lower": -0.0356546683972398,
              "upper": -0.0012133490137360425,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 3,
          "probability": 0.02704019970334636,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.0318882752102357,
              "upper": 0.0018882752102357021,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.04320828191771259,
              "upper": -0.0031041076215534424,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 4,
          "probability": 0.055488743141242004,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.03945134283587169,
              "upper": -0.0005486571641283057,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.05041360908989628,
              "upper": -0.005475565879556443,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 5,
          "probability": 0.09063161379736197,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.04669171376360354,
              "upper": -0.003308286236396469,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.05737435112684591,
              "upper": -0.008166166190842539,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 6,
          "probability": 0.12273031035059434,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.05370107514918111,
              "upper": -0.006298924850818885,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.06415062670502697,
              "upper": -0.011087455672254887,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 7,
          "probability": 0.14172428695247202,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.06053402220163695,
              "upper": -0.009465977798363057,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.07078099835097723,
              "upper": -0.014185525898419149,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 8,
          "probability": 0.1424624342803495,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.06722620843418672,
              "upper": -0.012773791565813274,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.07729196822601608,
              "upper": -0.017424808994480623,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 9,
          "probability": 0.12663327491586623,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.07380245425222313,
              "upper": -0.016197545747776862,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.08370268807585407,
              "upper": -0.02078042222700427,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 10,
          "probability": 0.10077898128721023,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.08028087062061735,
              "upper": -0.019719129379382652,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.09002753770135136,
              "upper": -0.02423416547210855,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 11,
          "probability": 0.07253032744155281,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.08667515887056071,
              "upper": -0.023324841129439285,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.0962776444339129,
              "upper": -0.027772254552006492,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 12,
          "probability": 0.04759802738351904,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.09299598555505639,
              "upper": -0.02700401444494361,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.10246183130832448,
              "upper": -0.031383953893483474,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 13,
          "probability": 0.028680862654171732,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.0992518502473261,
              "upper": -0.030748149752673898,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.10858723650381513,
              "upper": -0.03506070865697897,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 14,
          "probability": 0.015962265822411056,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.10544965778851116,
              "upper": -0.03455034221148885,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.11465973353711051,
              "upper": -0.03879557042956283,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 15,
          "probability": 0.008247170674912376,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.11159510949049586,
              "upper": -0.038404890509504123,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.12068422539966134,
              "upper": -0.042582803737092556,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 16,
          "probability": 0.003973246288694766,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.11769297877936613,
              "upper": -0.042307021220633866,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.12666485602208172,
              "upper": -0.046417608399822674,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 17,
          "probability": 0.0017918561694113648,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.12374731047754987,
              "upper": -0.04625268952245014,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.13260516582955234,
              "upper": -0.050295918630257175,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 18,
          "probability": 0.0007590501828756477,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.12976156811001144,
              "upper": -0.05023843188998855,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.13850820847382211,
              "upper": -0.0542142544560964,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 19,
          "probability": 0.0003029542396565085,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.13573874491478655,
              "upper": -0.054261255085213456,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.14437663997685252,
              "upper": -0.05816960972512031,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 20,
          "probability": 0.00011423899453714174,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.14168144893401077,
              "upper": -0.05831855106598923,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.15021278786775577,
              "upper": -0.06215936625406604,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 21,
          "probability": 4.0799640906122065e-05,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.1475919692264467,
              "upper": -0.06240803077355328,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.1560187055475028,
              "upper": -0.06618122702871165,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 22,
          "probability": 1.3831696443552744e-05,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.15347232808668237,
              "upper": -0.06652767191331761,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.16179621556950013,
              "upper": -0.07023316352921172,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 23,
          "probability": 4.460220954623893e-06,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.15932432272812816,
              "upper": -0.07067567727187185,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.167546944482254,
              "upper": -0.07431337369229696,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 24,
          "probability": 1.3705887308479668e-06,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.1651495589201035,
              "upper": -0.0748504410798965,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.17327235116412226,
              "upper": -0.07842024799636271,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 25,
          "probability": 4.0203936104873693e-07,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.17094947840176283,
              "upper": -0.07905052159823717,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.1789737500787995,
              "upper": -0.08255234182881699,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 26,
          "probability": 1.1275142337104003e-07,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.17672538142647715,
              "upper": -0.08327461857352286,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.1846523305234125,
              "upper": -0.08670835276857525,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 27,
          "probability": 3.027584516444594e-08,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.1824784454552486,
              "upper": -0.08752155454475141,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.19030917268339836,
              "upper": -0.09088710175489778,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 28,
          "probability": 7.794227996204088e-09,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.18820974077492839,
              "upper": -0.09179025922507164,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.19594526111961424,
              "upper": -0.09508751735901977,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 29,
          "probability": 1.926159792165378e-09,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.1939202436386625,
              "upper": -0.09607975636133748,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.2015614961731797,
              "upper": -0.09930862255520756,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 30,
          "probability": 4.5746295063927744e-10,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.19961084739336693,
              "upper": -0.10038915260663306,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.20715870366855066,
              "upper": -0.10354952352186264,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 31,
          "probability": 1.0452782474284564e-10,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.20528237195927934,
              "upper": -0.10471762804072066,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.21273764321570593,
              "upper": -0.10780940010409656,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 32,
          "probability": 2.3001565600964735e-11,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.21093557195081086,
              "upper": -0.10906442804918913,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.21829901535134083,
              "upper": -0.11208749764580195,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 33,
          "probability": 4.879119975962216e-12,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.21657114366971786,
              "upper": -0.11342885633028217,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.22384346771182068,
              "upper": -0.11638311995805384,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 34,
          "probability": 9.985453872373653e-13,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.2221897311565279,
              "upper": -0.11781026884347212,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.2293716003938862,
              "upper": -0.12069562323621752,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 35,
          "probability": 1.9733158843024127e-13,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.22779193145093452,
              "upper": -0.12220806854906546,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.2348839706302091,
              "upper": -0.12502441077371196,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 36,
          "probability": 3.768485195716413e-14,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.2333782991841368,
              "upper": -0.1266217008158632,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.24038109688400738,
              "upper": -0.1293689283483972,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 37,
          "probability": 6.95981500109788e-15,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.23894935060409717,
              "upper": -0.13105064939590283,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.24586346244867835,
              "upper": -0.1337286601797616,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 38,
          "probability": 1.2439143039242925e-15,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.24450556711711124,
              "upper": -0.13549443288288876,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.25133151862374425,
              "upper": -0.13810312537283975,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 39,
          "probability": 2.152928602945891e-16,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.2500473984149439,
              "upper": -0.13995260158505612,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.25678568752655917,
              "upper": -0.1424918747790589,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 40,
          "probability": 3.610640677857171e-17,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.25557526524534774,
              "upper": -0.1444247347546523,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.26222636458960025,
              "upper": -0.1468944882157588,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 41,
          "probability": 5.870960451800278e-18,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.2610895618744653,
              "upper": -0.14891043812553467,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.26765392078528516,
              "upper": -0.15131057199551945,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 42,
          "probability": 9.26074118885163e-19,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.26659065828199674,
              "upper": -0.15340934171800327,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.27306870461379884,
              "upper": -0.15573975672412832,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 43,
          "probability": 1.4178266548823232e-19,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.2720789021237402,
              "upper": -0.15792109787625982,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.2784710438840571,
              "upper": -0.16018169533233628,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 44,
          "probability": 2.1079430380352722e-20,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.2775546204909287,
              "upper": -0.16244537950907129,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.2838612473135075,
              "upper": -0.16463606131178432,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 45,
          "probability": 3.0448066104953936e-21,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.28301812149147615,
              "upper": -0.16698187850852386,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.28923960596876463,
              "upper": -0.1691025471298251,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 46,
          "probability": 4.274864353503496e-22,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.2884696956746491,
              "upper": -0.17153030432535094,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.2946063945659808,
              "upper": -0.17358086280159002,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 47,
          "probability": 5.836250979073924e-23,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.29390961731766724,
              "upper": -0.17609038268233274,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.29996187264724916,
              "upper": -0.17807073460068645,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 48,
          "probability": 7.751270831582554e-24,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.29933814559019734,
              "upper": -0.18066185440980265,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.30530628564713946,
              "upper": -0.18257190389247158,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 49,
          "probability": 1.0018649374154325e-24,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3047555256105613,
              "upper": -0.18524447438943867,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.31063986586159864,
              "upper": -0.18708412607600078,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 50,
          "probability": 1.2606800462477524e-25,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3101619894056619,
              "upper": -0.18983801059433808,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3159628333298691,
              "upper": -0.1916071696225865,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 51,
          "probability": 1.544951037068324e-26,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3155577567850811,
              "upper": -0.1944422432149189,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3212753966387206,
              "upper": -0.19614081520045734,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 52,
          "probability": 1.8445328888075343e-27,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3209430361384845,
              "upper": -0.1990569638615155,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3265777536571398,
              "upper": -0.2006848548763398,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 53,
          "probability": 2.146154619052792e-28,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3263180251643329,
              "upper": -0.20368197483566716,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3318700922086181,
              "upper": -0.20523909138592233,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 54,
          "probability": 2.4342957484626578e-29,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.33168291153692747,
              "upper": -0.20831708846307256,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3371525906873306,
              "upper": -0.20980333746614455,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 55,
          "probability": 2.692478630875364e-30,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.33703787351797787,
              "upper": -0.21296212648202217,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.34242541862375064,
              "upper": -0.21437741524309484,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 56,
          "probability": 2.9048318562271414e-31,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3423830805181529,
              "upper": -0.21761691948184714,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.34768873720460813,
              "upper": -0.21896115567003238,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 57,
          "probability": 3.0577177433969904e-32,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.34771869361344837,
              "upper": -0.22228130638655158,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3529426997515398,
              "upper": -0.22355439801068444,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 58,
          "probability": 3.141189923173633e-33,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.35304486602065555,
              "upper": -0.22695513397934441,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3581874521622911,
              "upper": -0.22815698936351136,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 59,
          "probability": 3.1500633410357064e-34,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.35836174353573885,
              "upper": -0.23163825646426112,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.36342313331791043,
              "upper": -0.23276878422312408,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 60,
          "probability": 3.084437021430795e-35,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3636694649385136,
              "upper": -0.23633053506148638,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3686498754590012,
              "upper": -0.23738964407544683,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 61,
          "probability": 2.949598244537646e-36,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.36896816236664937,
              "upper": -0.24103183763335062,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.37386780453377033,
              "upper": -0.24201943702359063,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 62,
          "probability": 2.7553370698301934e-37,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.37425796166170344,
              "upper": -0.24574203833829655,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.37907704052032576,
              "upper": -0.24665803744172532,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 63,
          "probability": 2.514791770083113e-38,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.37953898268960723,
              "upper": -0.2504610173103928,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3842776977254271,
              "upper": -0.25130532565451746,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 64,
          "probability": 2.2430108886809024e-39,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3848113396377781,
              "upper": -0.25518866036222193,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.38946988506165814,
              "upper": -0.25596118763995745,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 65,
          "probability": 1.9554453901320683e-40,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3900751412908106,
              "upper": -0.2599248587091894,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.39465370630480756,
              "upper": -0.26062551475361495,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 66,
          "probability": 1.6665727756807404e-41,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.39533049128650444,
              "upper": -0.2646695087134956,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.39982926033305477,
              "upper": -0.2652982034725615,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 67,
          "probability": 1.388810646400617e-42,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.40057748835381424,
              "upper": -0.2694225116461858,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4049966413494098,
              "upper": -0.26997915515736937,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 68,
          "probability": 1.1318125978632478e-43,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4058162265341518,
              "upper": -0.27418377346584827,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4101559390887147,
              "upper": -0.27466827583075504,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 69,
          "probability": 9.021694620649079e-45,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4110467953873347,
              "upper": -0.27895320461266526,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.41530723901038924,
              "upper": -0.2793654759715658,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 70,
          "probability": 7.034773781577555e-46,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4162692801833524,
              "upper": -0.28373071981664755,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4204506224779935,
              "upper": -0.28407067032294164,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 71,
          "probability": 5.366904880311517e-47,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.42148376208101046,
              "upper": -0.2885162379189895,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4255861669265796,
              "upper": -0.2887837777135842,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 72,
          "probability": 4.006543573843667e-48,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4266903182944172,
              "upper": -0.29330968170558275,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4307139460187174,
              "upper": -0.2935047208911665,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 73,
          "probability": 2.9271551224428617e-49,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.43188902224818726,
              "upper": -0.2981109777518127,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4358340297899971,
              "upper": -0.29823342636701167,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 74,
          "probability": 2.093179620215335e-50,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.43707994372215764,
              "upper": -0.30292005627784235,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.44094648478474074,
              "upper": -0.30296982427123686,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 75,
          "probability": 1.4652257341507344e-51,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4422631489863411,
              "upper": -0.3077368510136589,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.44605137418258545,
              "upper": -0.3077138482176407,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 76,
          "probability": 1.004129477899352e-52,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.44743870092677596,
              "upper": -0.31256129907322405,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.45114875791655173,
              "upper": -0.31246543517767034,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 77,
          "probability": 6.737665327896086e-54,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4526066591628745,
              "upper": -0.3173933408371255,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4562386927831451,
              "upper": -0.3172245253628674,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 78,
          "probability": 4.4269916417265954e-55,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4577670801568178,
              "upper": -0.32223291984318225,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.46132123254499857,
              "upper": -0.3219910621152404,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 79,
          "probability": 2.8485916681996024e-56,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.46292001731549826,
              "upper": -0.3270799826845018,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.46639642802651815,
              "upper": -0.32676499180506324,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 80,
          "probability": 1.7952062075632915e-57,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.46806552108546684,
              "upper": -0.3319344789145332,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.47146432720295384,
              "upper": -0.33154626373563945,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 81,
          "probability": 1.1081519799773404e-58,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.473203639041302,
              "upper": -0.336796360958698,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4765249752832771,
              "upper": -0.3363348300546172,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 82,
          "probability": 6.700715732586561e-60,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.47833441596778176,
              "upper": -0.3416655840322182,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.48157841478722097,
              "upper": -0.34113064567146756,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 83,
          "probability": 3.969299480146657e-61,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4834578939362071,
              "upper": -0.3465421060637929,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4866246856168027,
              "upper": -0.3459336681807801,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 84,
          "probability": 2.3036113054422563e-62,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.48857411237519355,
              "upper": -0.3514258876248064,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.49166382512261964,
              "upper": -0.35074385779105577,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 85,
          "probability": 1.3098966246632442e-63,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.49368310813622146,
              "upper": -0.3563168918637785,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4966958681651902,
              "upper": -0.3555611772587053,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 86,
          "probability": 7.298358131602377e-65,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4987849155542089,
              "upper": -0.3612150844457911,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5017208471715782,
              "upper": -0.3603855918269885,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 87,
          "probability": 3.984735761507045e-66,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5038795665033465,
              "upper": -0.36612043349665346,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5067387921875273,
              "upper": -0.3652170691696517,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 88,
          "probability": 2.1319845693669326e-67,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5089670904484143,
              "upper": -0.3710329095515857,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5117497309253032,
              "upper": -0.37005557933904365,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 89,
          "probability": 1.117894530754197e-68,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5140475144917768,
              "upper": -0.3759524855082233,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5167536888074262,
              "upper": -0.37490109471850985,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 90,
          "probability": 5.744735783042401e-70,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5191208634162364,
              "upper": -0.3808791365837636,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5217506890064618,
              "upper": -0.37975358997888464,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 91,
          "probability": 2.8934108797374737e-71,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5241871597239072,
              "upper": -0.3858128402760929,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5267407524810117,
              "upper": -0.3846130420389169,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 92,
          "probability": 1.4283595375515608e-72,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5292464236712511,
              "upper": -0.39075357632874896,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5317238980080445,
              "upper": -0.38947943002948326,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 93,
          "probability": 6.911417117184972e-74,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5342986733004095,
              "upper": -0.39570132669959057,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.536700142211679,
              "upper": -0.39435273526145687,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 94,
          "probability": 3.278021416395355e-75,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5393439244669417,
              "upper": -0.40065607553305826,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5416694995885252,
              "upper": -0.3992329411971143,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 95,
          "probability": 1.5239924128855598e-76,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5443821908640717,
              "upper": -0.40561780913592826,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5466319825296759,
              "upper": -0.4041200334249786,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 96,
          "probability": 6.945277923306588e-78,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5494134840435313,
              "upper": -0.41058651595646867,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5515876013394261,
              "upper": -0.4090139996380062,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 97,
          "probability": 3.10270147776583e-79,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5544378134330726,
              "upper": -0.41556218656692734,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5565363642507839,
              "upper": -0.4139148296150439,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 98,
          "probability": 1.3587510723209205e-80,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5594551863507137,
              "upper": -0.42054481364928625,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5614782774378335,
              "upper": -0.4188225152054852,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 99,
          "probability": 5.833022280165568e-82,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5644656080157661,
              "upper": -0.4255343919842339,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5664133450249884,
              "upper": -0.4237370503170774,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 100,
          "probability": 2.4547302095696765e-83,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5694690815566846,
              "upper": -0.43053091844331537,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5713415690931678,
              "upper": -0.4286584309068322,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 101,
          "probability": 1.0126774791954113e-84,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5744656080157661,
              "upper": -0.4355343919842339,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5762629496829226,
              "upper": -0.4335866549750116,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 102,
          "probability": 4.095386864393208e-86,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5794551863507137,
              "upper": -0.44054481364928627,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5811774847945148,
              "upper": -0.4385217225621665,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 103,
          "probability": 1.6235756986672102e-87,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5844378134330727,
              "upper": -0.44556218656692737,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5860851703849561,
              "upper": -0.4434636357492161,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 104,
          "probability": 6.309569021262795e-89,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5894134840435313,
              "upper": -0.4505865159564687,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5909860003619938,
              "upper": -0.4484123986605739,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 105,
          "probability": 2.4036453414334463e-90,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5943821908640717,
              "upper": -0.4556178091359283,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5958799665750214,
              "upper": -0.45336801747032407,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 106,
          "probability": 8.975876864629617e-92,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5993439244669417,
              "upper": -0.4606560755330583,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6007670588028857,
              "upper": -0.45833050041147483,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 107,
          "probability": 3.285562403719563e-93,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6042986733004095,
              "upper": -0.4657013266995905,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6056472647385431,
              "upper": -0.46329985778832095,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 108,
          "probability": 1.178847621704936e-94,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.609246423671251,
              "upper": -0.47075357632874903,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6105205699705167,
              "upper": -0.46827610199195546,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 109,
          "probability": 4.14579438825895e-96,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6141871597239071,
              "upper": -0.47581284027609294,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6153869579610831,
              "upper": -0.4732592475189883,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 110,
          "probability": 1.4290427626195622e-97,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6191208634162364,
              "upper": -0.48087913658376363,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6202464100211154,
              "upper": -0.4782493109935382,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 111,
          "probability": 4.827847171012035e-99,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6240475144917768,
              "upper": -0.48595248550822334,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6250989052814901,
              "upper": -0.4832463111925738,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 112,
          "probability": 1.598505945759193e-100,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6289670904484144,
              "upper": -0.49103290955158574,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6299444206609564,
              "upper": -0.4882502690746968,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 113,
          "probability": 5.1868924493661136e-102,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6338795665033464,
              "upper": -0.49612043349665347,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6347829308303483,
              "upper": -0.49326120781247274,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 114,
          "probability": 1.6493408007852777e-103,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6387849155542088,
              "upper": -0.5012150844457911,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6396144081730115,
              "upper": -0.49827915282842183,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 115,
          "probability": 5.13925032128746e-105,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6436831081362214,
              "upper": -0.5063168918637785,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6444388227412947,
              "upper": -0.5033041318348098,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 116,
          "probability": 1.5690958236689443e-106,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6485741123751935,
              "upper": -0.5114258876248065,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6492561422089442,
              "upper": -0.5083361748773804,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 117,
          "probability": 4.69387639559086e-108,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6534578939362071,
              "upper": -0.5165421060637928,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6540663318192199,
              "upper": -0.5133753143831973,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 118,
          "probability": 1.3756770509676599e-109,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6583344159677817,
              "upper": -0.5216655840322182,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6588693543285324,
              "upper": -0.518421585212779,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 119,
          "probability": 3.949773045495382e-111,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.663203639041302,
              "upper": -0.526796360958698,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6636651699453828,
              "upper": -0.5234750247167229,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 120,
          "probability": 1.1108736690455764e-112,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6680655210854668,
              "upper": -0.5319344789145332,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6684537362643606,
              "upper": -0.5285356727970462,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 121,
          "probability": 3.0602580414478687e-114,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6729200173154982,
              "upper": -0.5370799826845017,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6732350081949368,
              "upper": -0.5336035719734818,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 122,
          "probability": 8.256843759370958e-116,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6777670801568177,
              "upper": -0.5422329198431822,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6780089378847596,
              "upper": -0.5386787674550014,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 123,
          "probability": 2.1816863591833838e-117,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6826066591628744,
              "upper": -0.5473933408371255,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6827754746371326,
              "upper": -0.5437613072168549,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 124,
          "probability": 5.644820216973137e-119,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.687438700926776,
              "upper": -0.552561299073224,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6875345648223297,
              "upper": -0.5488512420834483,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 125,
          "probability": 1.4300211216331945e-120,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6922631489863411,
              "upper": -0.5577368510136589,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6922861517823593,
              "upper": -0.5539486258174146,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 126,
          "probability": 3.546679369129947e-122,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6970799437221576,
              "upper": -0.5629200562778424,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6970301757287631,
              "upper": -0.5590535152152593,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 127,
          "probability": 8.610704505105515e-124,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7018890222481873,
              "upper": -0.5681109777518127,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7017665736329883,
              "upper": -0.5641659702100029,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 128,
          "probability": 2.0461635054449955e-125,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7066903182944173,
              "upper": -0.5733096817055827,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7064952791088335,
              "upper": -0.5692860539812826,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 129,
          "probability": 4.7585197801046424e-127,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7114837620810105,
              "upper": -0.5785162379189895,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7112162222864158,
              "upper": -0.5744138330734204,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 130,
          "probability": 1.0828682832930433e-128,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7162692801833525,
              "upper": -0.5837307198166476,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7159293296770584,
              "upper": -0.5795493775220065,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 131,
          "probability": 2.4109662795964707e-130,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7210467953873347,
              "upper": -0.5889532046126653,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7206345240284342,
              "upper": -0.5846927609896108,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 132,
          "probability": 5.2511576165453435e-132,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7258162265341518,
              "upper": -0.5941837734658483,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.725331724169245,
              "upper": -0.5898440609112853,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 133,
          "probability": 1.118667662672567e-133,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7305774883538143,
              "upper": -0.5994225116461858,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7300208448426306,
              "upper": -0.5950033586505902,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 134,
          "probability": 2.3305576305678483e-135,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7353304912865045,
              "upper": -0.6046695087134956,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7347017965274385,
              "upper": -0.6001707396669452,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 135,
          "probability": 4.747432210415988e-137,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7400751412908106,
              "upper": -0.6099248587091894,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.739374485246385,
              "upper": -0.6053462936951924,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 136,
          "probability": 9.454138899419094e-139,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7448113396377781,
              "upper": -0.615188660362222,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7440388123600425,
              "upper": -0.6105301149383419,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 137,
          "probability": 1.8402216835852248e-140,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7495389826896073,
              "upper": -0.6204610173103928,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7486946743454825,
              "upper": -0.6157223022745729,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 138,
          "probability": 3.500421680732765e-142,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7542579616617033,
              "upper": -0.6257420383382966,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7533419625582747,
              "upper": -0.6209229594796742,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 139,
          "probability": 6.505579862273126e-144,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7589681623666493,
              "upper": -0.6310318376333506,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7579805629764094,
              "upper": -0.6261321954662297,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 140,
          "probability": 1.1810725345198234e-145,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7636694649385135,
              "upper": -0.6363305350614864,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7626103559245532,
              "upper": -0.6313501245409988,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 141,
          "probability": 2.094100238510325e-147,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7683617435357388,
              "upper": -0.6416382564642611,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7672312157768759,
              "upper": -0.6365768666820896,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 142,
          "probability": 3.6253495913177587e-149,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7730448660206555,
              "upper": -0.6469551339793445,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7718430106364886,
              "upper": -0.6418125478377089,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 143,
          "probability": 6.12675630234353e-151,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7777186936134484,
              "upper": -0.6522813063865516,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7764456019893156,
              "upper": -0.6470573002484602,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 144,
          "probability": 1.0104893206990202e-152,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7823830805181529,
              "upper": -0.6576169194818471,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7810388443299676,
              "upper": -0.6523112627953919,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 145,
          "probability": 1.626074768940952e-154,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7870378735179778,
              "upper": -0.6629621264820221,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7856225847569052,
              "upper": -0.6575745813762494,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 146,
          "probability": 2.5523433873216997e-156,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7916829115369275,
              "upper": -0.6683170884630725,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7901966625338555,
              "upper": -0.6628474093126694,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 147,
          "probability": 3.906648041818928e-158,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7963180251643328,
              "upper": -0.6736819748356672,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7947609086140777,
              "upper": -0.6681299077913819,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 148,
          "probability": 5.82917641375009e-160,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8009430361384845,
              "upper": -0.6790569638615155,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7993151451236602,
              "upper": -0.6734222463428602,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 149,
          "probability": 8.476431026705949e-162,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8055577567850811,
              "upper": -0.6844422432149189,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8038591847995427,
              "upper": -0.6787246033612794,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 150,
          "probability": 1.2008277287833427e-163,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8101619894056619,
              "upper": -0.6898380105943381,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8083928303774135,
              "upper": -0.6840371666701309,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 151,
          "probability": 1.6567711489836407e-165,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8147555256105613,
              "upper": -0.6952444743894387,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8129158739239992,
              "upper": -0.6893601341384014,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 152,
          "probability": 2.2253779139308776e-167,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8193381455901974,
              "upper": -0.7006618544098027,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8174280961075284,
              "upper": -0.6946937143528605,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 153,
          "probability": 2.908990737164546e-169,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8239096173176672,
              "upper": -0.7060903826823328,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8219292653993135,
              "upper": -0.7000381273527508,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 154,
          "probability": 3.6992035889267763e-171,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8284696956746491,
              "upper": -0.7115303043253509,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.82641913719841,
              "upper": -0.7053936054340192,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 155,
          "probability": 4.574284007812681e-173,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8330181214914761,
              "upper": -0.7169818785085239,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8308974528701749,
              "upper": -0.7107603940312354,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 156,
          "probability": 5.497937509390241e-175,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8375546204909288,
              "upper": -0.7224453795090713,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8353639386882157,
              "upper": -0.7161387526864925,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 157,
          "probability": 6.42009687933043e-177,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8420789021237403,
              "upper": -0.7279210978762598,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8398183046676637,
              "upper": -0.7215289561159429,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 158,
          "probability": 7.28017314902976e-179,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8465906582819968,
              "upper": -0.7334093417180033,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8442602432758717,
              "upper": -0.7269312953862012,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 159,
          "probability": 8.012769189183699e-181,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8510895618744654,
              "upper": -0.7389104381255347,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8486894280044806,
              "upper": -0.7323460792147148,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 160,
          "probability": 8.555300436368015e-183,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8555752652453478,
              "upper": -0.7444247347546523,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8531055117842412,
              "upper": -0.7377736354103998,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 161,
          "probability": 8.856418671188418e-185,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8600473984149439,
              "upper": -0.7499526015850562,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8575081252209411,
              "upper": -0.7432143124734408,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 162,
          "probability": 8.883753296716781e-187,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8645055671171112,
              "upper": -0.7554944328828889,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8618968746271602,
              "upper": -0.7486684813762557,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 163,
          "probability": 8.629412711534703e-189,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8689493506040972,
              "upper": -0.7610506493959027,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8662713398202384,
              "upper": -0.7541365375513216,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 164,
          "probability": 8.111998737977238e-191,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8733782991841368,
              "upper": -0.7666217008158631,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8706310716516028,
              "upper": -0.7596189031159926,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 165,
          "probability": 7.374544307252035e-193,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8777919314509345,
              "upper": -0.7722080685490654,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.874975589226288,
              "upper": -0.765116029369791,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 166,
          "probability": 6.478640832174227e-195,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8821897311565279,
              "upper": -0.777810268843472,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8793043767637825,
              "upper": -0.7706283996061138,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 167,
          "probability": 5.495853001345403e-197,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8865711436697178,
              "upper": -0.7834288563302821,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8836168800419462,
              "upper": -0.7761565322881794,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 168,
          "probability": 4.4980939743154345e-199,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8909355719508109,
              "upper": -0.7890644280491891,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.887912502354198,
              "upper": -0.7817009846486591,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 169,
          "probability": 3.548792090189693e-201,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8952823719592793,
              "upper": -0.7947176280407207,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8921905998959034,
              "upper": -0.787262356784294,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 170,
          "probability": 2.6963861469578544e-203,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8996108473933669,
              "upper": -0.800389152606633,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8964504764781374,
              "upper": -0.7928412963314493,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 171,
          "probability": 1.971042505086151e-205,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9039202436386625,
              "upper": -0.8060797563613374,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9006913774447924,
              "upper": -0.7984385038268202,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 172,
          "probability": 1.3846955583211816e-207,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9082097407749283,
              "upper": -0.8117902592250716,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9049124826409802,
              "upper": -0.8040547388803858,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 173,
          "probability": 9.33802399638562e-210,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9124784454552486,
              "upper": -0.8175215545447514,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9091128982451022,
              "upper": -0.8096908273166017,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 174,
          "probability": 6.037515514904495e-212,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9167253814264772,
              "upper": -0.8232746185735228,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9132916472314248,
              "upper": -0.8153476694765875,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 175,
          "probability": 3.7375096044646874e-214,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9209494784017629,
              "upper": -0.8290505215982371,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.917447658171183,
              "upper": -0.8210262499212004,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 176,
          "probability": 2.2120677109757858e-216,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9251495589201035,
              "upper": -0.8348504410798965,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9215797520036373,
              "upper": -0.8267276488358777,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 177,
          "probability": 1.2497557689128737e-218,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9293243227281281,
              "upper": -0.8406756772718719,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.925686626307703,
              "upper": -0.8324530555177461,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 178,
          "probability": 6.728553999296839e-221,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9334723280866823,
              "upper": -0.8465276719133177,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9297668364707883,
              "upper": -0.8382037844304999,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 179,
          "probability": 3.445721321800057e-223,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9375919692264467,
              "upper": -0.8524080307735533,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9338187729712883,
              "upper": -0.8439812944524971,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 180,
          "probability": 1.6750034203194723e-225,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9416814489340108,
              "upper": -0.8583185510659892,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.937840633745934,
              "upper": -0.8497872121322443,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 181,
          "probability": 7.711802119334588e-228,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9457387449147866,
              "upper": -0.8642612550852135,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9418303902748797,
              "upper": -0.8556233600231475,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 182,
          "probability": 3.3544926801134886e-230,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9497615681100114,
              "upper": -0.8702384318899886,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9457857455439036,
              "upper": -0.8614917915261779,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 183,
          "probability": 1.3747920820137247e-232,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9537473104775499,
              "upper": -0.8762526895224502,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9497040813697428,
              "upper": -0.8673948341704476,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 184,
          "probability": 5.2924514026796474e-235,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9576929787793662,
              "upper": -0.8823070212206339,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9535823916001773,
              "upper": -0.8733351439779182,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 185,
          "probability": 1.9071896946593326e-237,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9615951094904959,
              "upper": -0.8884048905095042,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9574171962629074,
              "upper": -0.8793157746003386,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 186,
          "probability": 6.40856752237679e-240,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9654496577885112,
              "upper": -0.8945503422114889,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9612044295704372,
              "upper": -0.8853402664628895,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 187,
          "probability": 1.9991075158929383e-242,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9692518502473262,
              "upper": -0.9007481497526739,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.964939291343021,
              "upper": -0.8914127634961848,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 188,
          "probability": 5.759839917244724e-245,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9729959855550563,
              "upper": -0.9070040144449436,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9686160461065165,
              "upper": -0.8975381686916755,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 189,
          "probability": 1.523767173874266e-247,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9766751588705607,
              "upper": -0.9133248411294392,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9722277454479935,
              "upper": -0.9037223555660872,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 190,
          "probability": 3.675754147503712e-250,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9802808706206173,
              "upper": -0.9197191293793826,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9757658345278915,
              "upper": -0.9099724622986487,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 191,
          "probability": 8.018660880243699e-253,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9838024542522231,
              "upper": -0.9261975457477768,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9792195777729957,
              "upper": -0.916297311924146,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 192,
          "probability": 1.5661447031725977e-255,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9872262084341867,
              "upper": -0.9327737915658132,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9825751910055194,
              "upper": -0.922708031773984,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 193,
          "probability": 2.7049131315588907e-258,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9905340222016369,
              "upper": -0.939465977798363,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9858144741015809,
              "upper": -0.9292190016490227,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 194,
          "probability": 4.066664931467405e-261,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.993701075149181,
              "upper": -0.9462989248508189,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9889125443277451,
              "upper": -0.9358493732949731,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 195,
          "probability": 5.213672989060776e-264,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9966917137636035,
              "upper": -0.9533082862363964,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9918338338091575,
              "upper": -0.9426256488731541,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 196,
          "probability": 5.541744248576506e-267,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9994513428358717,
              "upper": -0.9605486571641283,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9945244341204436,
              "upper": -0.9495863909101037,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 197,
          "probability": 4.688446910809226e-270,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -1.0018882752102356,
              "upper": -0.9681117247897643,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9968958923784466,
              "upper": -0.9567917180822874,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 198,
          "probability": 2.9598781002583507e-273,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -1.0038241726832473,
              "upper": -0.9761758273167527,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.998786650986264,
              "upper": -0.9643453316027601,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 199,
          "probability": 1.2394799414817212e-276,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -1.0047998199227002,
              "upper": -0.9852001800772997,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.999873418972133,
              "upper": -0.9724581015427944,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 200,
          "probability": 2.582249878086919e-280,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -1.0,
              "upper": -1.0,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -1.0,
              "upper": -0.9817246596448637,
              "promote": false
            }
          }
        }
      ]
    },
    {
      "n": 200,
      "loss_probability": 0.1,
      "hidden_loss_probability": 1.0,
      "true_difference": -0.1,
      "observed_difference": -0.0,
      "margin": 0.03,
      "confidence": 0.95,
      "enumerated_probability_mass": 1.0,
      "methods": {
        "clustered_normal_interval": {
          "coverage_probability": 0.0,
          "promotion_probability": 1.0,
          "false_promotion_probability": 1.0,
          "no_interval_probability": 0.0
        },
        "exact_binomial_special_case": {
          "coverage_probability": 0.0,
          "promotion_probability": 1.0,
          "false_promotion_probability": 1.0,
          "no_interval_probability": 0.0
        }
      },
      "count_outcomes": [
        {
          "observed_losses": 0,
          "probability": 1.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": 0.0,
              "upper": 0.0,
              "promote": true
            },
            "exact_binomial_special_case": {
              "lower": -0.018275340355136283,
              "upper": -0.0,
              "promote": true
            }
          }
        },
        {
          "observed_losses": 1,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.01479981992270027,
              "upper": 0.004799819922700268,
              "promote": true
            },
            "exact_binomial_special_case": {
              "lower": -0.027541898457205616,
              "upper": -0.00012658102786700098,
              "promote": true
            }
          }
        },
        {
          "observed_losses": 2,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.023824172683247283,
              "upper": 0.0038241726832472806,
              "promote": true
            },
            "exact_binomial_special_case": {
              "lower": -0.0356546683972398,
              "upper": -0.0012133490137360425,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 3,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.0318882752102357,
              "upper": 0.0018882752102357021,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.04320828191771259,
              "upper": -0.0031041076215534424,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 4,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.03945134283587169,
              "upper": -0.0005486571641283057,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.05041360908989628,
              "upper": -0.005475565879556443,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 5,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.04669171376360354,
              "upper": -0.003308286236396469,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.05737435112684591,
              "upper": -0.008166166190842539,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 6,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.05370107514918111,
              "upper": -0.006298924850818885,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.06415062670502697,
              "upper": -0.011087455672254887,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 7,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.06053402220163695,
              "upper": -0.009465977798363057,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.07078099835097723,
              "upper": -0.014185525898419149,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 8,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.06722620843418672,
              "upper": -0.012773791565813274,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.07729196822601608,
              "upper": -0.017424808994480623,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 9,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.07380245425222313,
              "upper": -0.016197545747776862,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.08370268807585407,
              "upper": -0.02078042222700427,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 10,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.08028087062061735,
              "upper": -0.019719129379382652,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.09002753770135136,
              "upper": -0.02423416547210855,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 11,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.08667515887056071,
              "upper": -0.023324841129439285,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.0962776444339129,
              "upper": -0.027772254552006492,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 12,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.09299598555505639,
              "upper": -0.02700401444494361,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.10246183130832448,
              "upper": -0.031383953893483474,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 13,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.0992518502473261,
              "upper": -0.030748149752673898,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.10858723650381513,
              "upper": -0.03506070865697897,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 14,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.10544965778851116,
              "upper": -0.03455034221148885,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.11465973353711051,
              "upper": -0.03879557042956283,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 15,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.11159510949049586,
              "upper": -0.038404890509504123,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.12068422539966134,
              "upper": -0.042582803737092556,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 16,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.11769297877936613,
              "upper": -0.042307021220633866,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.12666485602208172,
              "upper": -0.046417608399822674,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 17,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.12374731047754987,
              "upper": -0.04625268952245014,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.13260516582955234,
              "upper": -0.050295918630257175,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 18,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.12976156811001144,
              "upper": -0.05023843188998855,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.13850820847382211,
              "upper": -0.0542142544560964,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 19,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.13573874491478655,
              "upper": -0.054261255085213456,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.14437663997685252,
              "upper": -0.05816960972512031,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 20,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.14168144893401077,
              "upper": -0.05831855106598923,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.15021278786775577,
              "upper": -0.06215936625406604,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 21,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.1475919692264467,
              "upper": -0.06240803077355328,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.1560187055475028,
              "upper": -0.06618122702871165,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 22,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.15347232808668237,
              "upper": -0.06652767191331761,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.16179621556950013,
              "upper": -0.07023316352921172,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 23,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.15932432272812816,
              "upper": -0.07067567727187185,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.167546944482254,
              "upper": -0.07431337369229696,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 24,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.1651495589201035,
              "upper": -0.0748504410798965,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.17327235116412226,
              "upper": -0.07842024799636271,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 25,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.17094947840176283,
              "upper": -0.07905052159823717,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.1789737500787995,
              "upper": -0.08255234182881699,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 26,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.17672538142647715,
              "upper": -0.08327461857352286,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.1846523305234125,
              "upper": -0.08670835276857525,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 27,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.1824784454552486,
              "upper": -0.08752155454475141,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.19030917268339836,
              "upper": -0.09088710175489778,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 28,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.18820974077492839,
              "upper": -0.09179025922507164,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.19594526111961424,
              "upper": -0.09508751735901977,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 29,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.1939202436386625,
              "upper": -0.09607975636133748,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.2015614961731797,
              "upper": -0.09930862255520756,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 30,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.19961084739336693,
              "upper": -0.10038915260663306,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.20715870366855066,
              "upper": -0.10354952352186264,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 31,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.20528237195927934,
              "upper": -0.10471762804072066,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.21273764321570593,
              "upper": -0.10780940010409656,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 32,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.21093557195081086,
              "upper": -0.10906442804918913,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.21829901535134083,
              "upper": -0.11208749764580195,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 33,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.21657114366971786,
              "upper": -0.11342885633028217,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.22384346771182068,
              "upper": -0.11638311995805384,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 34,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.2221897311565279,
              "upper": -0.11781026884347212,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.2293716003938862,
              "upper": -0.12069562323621752,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 35,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.22779193145093452,
              "upper": -0.12220806854906546,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.2348839706302091,
              "upper": -0.12502441077371196,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 36,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.2333782991841368,
              "upper": -0.1266217008158632,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.24038109688400738,
              "upper": -0.1293689283483972,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 37,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.23894935060409717,
              "upper": -0.13105064939590283,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.24586346244867835,
              "upper": -0.1337286601797616,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 38,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.24450556711711124,
              "upper": -0.13549443288288876,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.25133151862374425,
              "upper": -0.13810312537283975,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 39,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.2500473984149439,
              "upper": -0.13995260158505612,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.25678568752655917,
              "upper": -0.1424918747790589,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 40,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.25557526524534774,
              "upper": -0.1444247347546523,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.26222636458960025,
              "upper": -0.1468944882157588,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 41,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.2610895618744653,
              "upper": -0.14891043812553467,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.26765392078528516,
              "upper": -0.15131057199551945,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 42,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.26659065828199674,
              "upper": -0.15340934171800327,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.27306870461379884,
              "upper": -0.15573975672412832,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 43,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.2720789021237402,
              "upper": -0.15792109787625982,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.2784710438840571,
              "upper": -0.16018169533233628,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 44,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.2775546204909287,
              "upper": -0.16244537950907129,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.2838612473135075,
              "upper": -0.16463606131178432,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 45,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.28301812149147615,
              "upper": -0.16698187850852386,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.28923960596876463,
              "upper": -0.1691025471298251,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 46,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.2884696956746491,
              "upper": -0.17153030432535094,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.2946063945659808,
              "upper": -0.17358086280159002,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 47,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.29390961731766724,
              "upper": -0.17609038268233274,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.29996187264724916,
              "upper": -0.17807073460068645,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 48,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.29933814559019734,
              "upper": -0.18066185440980265,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.30530628564713946,
              "upper": -0.18257190389247158,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 49,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3047555256105613,
              "upper": -0.18524447438943867,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.31063986586159864,
              "upper": -0.18708412607600078,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 50,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3101619894056619,
              "upper": -0.18983801059433808,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3159628333298691,
              "upper": -0.1916071696225865,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 51,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3155577567850811,
              "upper": -0.1944422432149189,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3212753966387206,
              "upper": -0.19614081520045734,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 52,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3209430361384845,
              "upper": -0.1990569638615155,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3265777536571398,
              "upper": -0.2006848548763398,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 53,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3263180251643329,
              "upper": -0.20368197483566716,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3318700922086181,
              "upper": -0.20523909138592233,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 54,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.33168291153692747,
              "upper": -0.20831708846307256,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3371525906873306,
              "upper": -0.20980333746614455,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 55,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.33703787351797787,
              "upper": -0.21296212648202217,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.34242541862375064,
              "upper": -0.21437741524309484,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 56,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3423830805181529,
              "upper": -0.21761691948184714,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.34768873720460813,
              "upper": -0.21896115567003238,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 57,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.34771869361344837,
              "upper": -0.22228130638655158,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3529426997515398,
              "upper": -0.22355439801068444,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 58,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.35304486602065555,
              "upper": -0.22695513397934441,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3581874521622911,
              "upper": -0.22815698936351136,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 59,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.35836174353573885,
              "upper": -0.23163825646426112,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.36342313331791043,
              "upper": -0.23276878422312408,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 60,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3636694649385136,
              "upper": -0.23633053506148638,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3686498754590012,
              "upper": -0.23738964407544683,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 61,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.36896816236664937,
              "upper": -0.24103183763335062,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.37386780453377033,
              "upper": -0.24201943702359063,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 62,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.37425796166170344,
              "upper": -0.24574203833829655,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.37907704052032576,
              "upper": -0.24665803744172532,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 63,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.37953898268960723,
              "upper": -0.2504610173103928,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.3842776977254271,
              "upper": -0.25130532565451746,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 64,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3848113396377781,
              "upper": -0.25518866036222193,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.38946988506165814,
              "upper": -0.25596118763995745,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 65,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.3900751412908106,
              "upper": -0.2599248587091894,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.39465370630480756,
              "upper": -0.26062551475361495,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 66,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.39533049128650444,
              "upper": -0.2646695087134956,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.39982926033305477,
              "upper": -0.2652982034725615,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 67,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.40057748835381424,
              "upper": -0.2694225116461858,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4049966413494098,
              "upper": -0.26997915515736937,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 68,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4058162265341518,
              "upper": -0.27418377346584827,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4101559390887147,
              "upper": -0.27466827583075504,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 69,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4110467953873347,
              "upper": -0.27895320461266526,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.41530723901038924,
              "upper": -0.2793654759715658,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 70,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4162692801833524,
              "upper": -0.28373071981664755,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4204506224779935,
              "upper": -0.28407067032294164,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 71,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.42148376208101046,
              "upper": -0.2885162379189895,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4255861669265796,
              "upper": -0.2887837777135842,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 72,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4266903182944172,
              "upper": -0.29330968170558275,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4307139460187174,
              "upper": -0.2935047208911665,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 73,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.43188902224818726,
              "upper": -0.2981109777518127,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4358340297899971,
              "upper": -0.29823342636701167,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 74,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.43707994372215764,
              "upper": -0.30292005627784235,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.44094648478474074,
              "upper": -0.30296982427123686,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 75,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4422631489863411,
              "upper": -0.3077368510136589,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.44605137418258545,
              "upper": -0.3077138482176407,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 76,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.44743870092677596,
              "upper": -0.31256129907322405,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.45114875791655173,
              "upper": -0.31246543517767034,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 77,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4526066591628745,
              "upper": -0.3173933408371255,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4562386927831451,
              "upper": -0.3172245253628674,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 78,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4577670801568178,
              "upper": -0.32223291984318225,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.46132123254499857,
              "upper": -0.3219910621152404,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 79,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.46292001731549826,
              "upper": -0.3270799826845018,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.46639642802651815,
              "upper": -0.32676499180506324,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 80,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.46806552108546684,
              "upper": -0.3319344789145332,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.47146432720295384,
              "upper": -0.33154626373563945,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 81,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.473203639041302,
              "upper": -0.336796360958698,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4765249752832771,
              "upper": -0.3363348300546172,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 82,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.47833441596778176,
              "upper": -0.3416655840322182,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.48157841478722097,
              "upper": -0.34113064567146756,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 83,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4834578939362071,
              "upper": -0.3465421060637929,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4866246856168027,
              "upper": -0.3459336681807801,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 84,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.48857411237519355,
              "upper": -0.3514258876248064,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.49166382512261964,
              "upper": -0.35074385779105577,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 85,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.49368310813622146,
              "upper": -0.3563168918637785,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.4966958681651902,
              "upper": -0.3555611772587053,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 86,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.4987849155542089,
              "upper": -0.3612150844457911,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5017208471715782,
              "upper": -0.3603855918269885,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 87,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5038795665033465,
              "upper": -0.36612043349665346,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5067387921875273,
              "upper": -0.3652170691696517,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 88,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5089670904484143,
              "upper": -0.3710329095515857,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5117497309253032,
              "upper": -0.37005557933904365,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 89,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5140475144917768,
              "upper": -0.3759524855082233,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5167536888074262,
              "upper": -0.37490109471850985,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 90,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5191208634162364,
              "upper": -0.3808791365837636,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5217506890064618,
              "upper": -0.37975358997888464,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 91,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5241871597239072,
              "upper": -0.3858128402760929,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5267407524810117,
              "upper": -0.3846130420389169,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 92,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5292464236712511,
              "upper": -0.39075357632874896,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5317238980080445,
              "upper": -0.38947943002948326,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 93,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5342986733004095,
              "upper": -0.39570132669959057,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.536700142211679,
              "upper": -0.39435273526145687,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 94,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5393439244669417,
              "upper": -0.40065607553305826,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5416694995885252,
              "upper": -0.3992329411971143,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 95,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5443821908640717,
              "upper": -0.40561780913592826,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5466319825296759,
              "upper": -0.4041200334249786,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 96,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5494134840435313,
              "upper": -0.41058651595646867,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5515876013394261,
              "upper": -0.4090139996380062,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 97,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5544378134330726,
              "upper": -0.41556218656692734,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5565363642507839,
              "upper": -0.4139148296150439,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 98,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5594551863507137,
              "upper": -0.42054481364928625,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5614782774378335,
              "upper": -0.4188225152054852,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 99,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5644656080157661,
              "upper": -0.4255343919842339,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5664133450249884,
              "upper": -0.4237370503170774,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 100,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5694690815566846,
              "upper": -0.43053091844331537,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5713415690931678,
              "upper": -0.4286584309068322,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 101,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5744656080157661,
              "upper": -0.4355343919842339,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5762629496829226,
              "upper": -0.4335866549750116,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 102,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5794551863507137,
              "upper": -0.44054481364928627,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5811774847945148,
              "upper": -0.4385217225621665,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 103,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5844378134330727,
              "upper": -0.44556218656692737,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5860851703849561,
              "upper": -0.4434636357492161,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 104,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5894134840435313,
              "upper": -0.4505865159564687,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5909860003619938,
              "upper": -0.4484123986605739,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 105,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5943821908640717,
              "upper": -0.4556178091359283,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.5958799665750214,
              "upper": -0.45336801747032407,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 106,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.5993439244669417,
              "upper": -0.4606560755330583,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6007670588028857,
              "upper": -0.45833050041147483,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 107,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6042986733004095,
              "upper": -0.4657013266995905,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6056472647385431,
              "upper": -0.46329985778832095,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 108,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.609246423671251,
              "upper": -0.47075357632874903,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6105205699705167,
              "upper": -0.46827610199195546,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 109,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6141871597239071,
              "upper": -0.47581284027609294,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6153869579610831,
              "upper": -0.4732592475189883,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 110,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6191208634162364,
              "upper": -0.48087913658376363,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6202464100211154,
              "upper": -0.4782493109935382,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 111,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6240475144917768,
              "upper": -0.48595248550822334,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6250989052814901,
              "upper": -0.4832463111925738,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 112,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6289670904484144,
              "upper": -0.49103290955158574,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6299444206609564,
              "upper": -0.4882502690746968,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 113,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6338795665033464,
              "upper": -0.49612043349665347,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6347829308303483,
              "upper": -0.49326120781247274,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 114,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6387849155542088,
              "upper": -0.5012150844457911,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6396144081730115,
              "upper": -0.49827915282842183,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 115,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6436831081362214,
              "upper": -0.5063168918637785,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6444388227412947,
              "upper": -0.5033041318348098,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 116,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6485741123751935,
              "upper": -0.5114258876248065,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6492561422089442,
              "upper": -0.5083361748773804,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 117,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6534578939362071,
              "upper": -0.5165421060637928,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6540663318192199,
              "upper": -0.5133753143831973,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 118,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6583344159677817,
              "upper": -0.5216655840322182,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6588693543285324,
              "upper": -0.518421585212779,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 119,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.663203639041302,
              "upper": -0.526796360958698,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6636651699453828,
              "upper": -0.5234750247167229,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 120,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6680655210854668,
              "upper": -0.5319344789145332,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6684537362643606,
              "upper": -0.5285356727970462,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 121,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6729200173154982,
              "upper": -0.5370799826845017,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6732350081949368,
              "upper": -0.5336035719734818,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 122,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6777670801568177,
              "upper": -0.5422329198431822,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6780089378847596,
              "upper": -0.5386787674550014,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 123,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6826066591628744,
              "upper": -0.5473933408371255,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6827754746371326,
              "upper": -0.5437613072168549,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 124,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.687438700926776,
              "upper": -0.552561299073224,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6875345648223297,
              "upper": -0.5488512420834483,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 125,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6922631489863411,
              "upper": -0.5577368510136589,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6922861517823593,
              "upper": -0.5539486258174146,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 126,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.6970799437221576,
              "upper": -0.5629200562778424,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.6970301757287631,
              "upper": -0.5590535152152593,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 127,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7018890222481873,
              "upper": -0.5681109777518127,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7017665736329883,
              "upper": -0.5641659702100029,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 128,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7066903182944173,
              "upper": -0.5733096817055827,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7064952791088335,
              "upper": -0.5692860539812826,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 129,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7114837620810105,
              "upper": -0.5785162379189895,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7112162222864158,
              "upper": -0.5744138330734204,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 130,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7162692801833525,
              "upper": -0.5837307198166476,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7159293296770584,
              "upper": -0.5795493775220065,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 131,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7210467953873347,
              "upper": -0.5889532046126653,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7206345240284342,
              "upper": -0.5846927609896108,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 132,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7258162265341518,
              "upper": -0.5941837734658483,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.725331724169245,
              "upper": -0.5898440609112853,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 133,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7305774883538143,
              "upper": -0.5994225116461858,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7300208448426306,
              "upper": -0.5950033586505902,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 134,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7353304912865045,
              "upper": -0.6046695087134956,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7347017965274385,
              "upper": -0.6001707396669452,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 135,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7400751412908106,
              "upper": -0.6099248587091894,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.739374485246385,
              "upper": -0.6053462936951924,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 136,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7448113396377781,
              "upper": -0.615188660362222,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7440388123600425,
              "upper": -0.6105301149383419,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 137,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7495389826896073,
              "upper": -0.6204610173103928,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7486946743454825,
              "upper": -0.6157223022745729,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 138,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7542579616617033,
              "upper": -0.6257420383382966,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7533419625582747,
              "upper": -0.6209229594796742,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 139,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7589681623666493,
              "upper": -0.6310318376333506,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7579805629764094,
              "upper": -0.6261321954662297,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 140,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7636694649385135,
              "upper": -0.6363305350614864,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7626103559245532,
              "upper": -0.6313501245409988,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 141,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7683617435357388,
              "upper": -0.6416382564642611,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7672312157768759,
              "upper": -0.6365768666820896,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 142,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7730448660206555,
              "upper": -0.6469551339793445,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7718430106364886,
              "upper": -0.6418125478377089,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 143,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7777186936134484,
              "upper": -0.6522813063865516,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7764456019893156,
              "upper": -0.6470573002484602,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 144,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7823830805181529,
              "upper": -0.6576169194818471,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7810388443299676,
              "upper": -0.6523112627953919,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 145,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7870378735179778,
              "upper": -0.6629621264820221,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7856225847569052,
              "upper": -0.6575745813762494,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 146,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7916829115369275,
              "upper": -0.6683170884630725,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7901966625338555,
              "upper": -0.6628474093126694,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 147,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.7963180251643328,
              "upper": -0.6736819748356672,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7947609086140777,
              "upper": -0.6681299077913819,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 148,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8009430361384845,
              "upper": -0.6790569638615155,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.7993151451236602,
              "upper": -0.6734222463428602,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 149,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8055577567850811,
              "upper": -0.6844422432149189,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8038591847995427,
              "upper": -0.6787246033612794,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 150,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8101619894056619,
              "upper": -0.6898380105943381,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8083928303774135,
              "upper": -0.6840371666701309,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 151,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8147555256105613,
              "upper": -0.6952444743894387,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8129158739239992,
              "upper": -0.6893601341384014,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 152,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8193381455901974,
              "upper": -0.7006618544098027,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8174280961075284,
              "upper": -0.6946937143528605,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 153,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8239096173176672,
              "upper": -0.7060903826823328,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8219292653993135,
              "upper": -0.7000381273527508,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 154,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8284696956746491,
              "upper": -0.7115303043253509,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.82641913719841,
              "upper": -0.7053936054340192,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 155,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8330181214914761,
              "upper": -0.7169818785085239,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8308974528701749,
              "upper": -0.7107603940312354,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 156,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8375546204909288,
              "upper": -0.7224453795090713,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8353639386882157,
              "upper": -0.7161387526864925,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 157,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8420789021237403,
              "upper": -0.7279210978762598,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8398183046676637,
              "upper": -0.7215289561159429,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 158,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8465906582819968,
              "upper": -0.7334093417180033,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8442602432758717,
              "upper": -0.7269312953862012,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 159,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8510895618744654,
              "upper": -0.7389104381255347,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8486894280044806,
              "upper": -0.7323460792147148,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 160,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8555752652453478,
              "upper": -0.7444247347546523,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8531055117842412,
              "upper": -0.7377736354103998,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 161,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8600473984149439,
              "upper": -0.7499526015850562,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8575081252209411,
              "upper": -0.7432143124734408,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 162,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8645055671171112,
              "upper": -0.7554944328828889,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8618968746271602,
              "upper": -0.7486684813762557,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 163,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8689493506040972,
              "upper": -0.7610506493959027,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8662713398202384,
              "upper": -0.7541365375513216,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 164,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8733782991841368,
              "upper": -0.7666217008158631,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8706310716516028,
              "upper": -0.7596189031159926,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 165,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8777919314509345,
              "upper": -0.7722080685490654,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.874975589226288,
              "upper": -0.765116029369791,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 166,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8821897311565279,
              "upper": -0.777810268843472,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8793043767637825,
              "upper": -0.7706283996061138,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 167,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8865711436697178,
              "upper": -0.7834288563302821,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8836168800419462,
              "upper": -0.7761565322881794,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 168,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8909355719508109,
              "upper": -0.7890644280491891,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.887912502354198,
              "upper": -0.7817009846486591,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 169,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8952823719592793,
              "upper": -0.7947176280407207,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8921905998959034,
              "upper": -0.787262356784294,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 170,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.8996108473933669,
              "upper": -0.800389152606633,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.8964504764781374,
              "upper": -0.7928412963314493,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 171,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9039202436386625,
              "upper": -0.8060797563613374,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9006913774447924,
              "upper": -0.7984385038268202,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 172,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9082097407749283,
              "upper": -0.8117902592250716,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9049124826409802,
              "upper": -0.8040547388803858,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 173,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9124784454552486,
              "upper": -0.8175215545447514,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9091128982451022,
              "upper": -0.8096908273166017,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 174,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9167253814264772,
              "upper": -0.8232746185735228,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9132916472314248,
              "upper": -0.8153476694765875,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 175,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9209494784017629,
              "upper": -0.8290505215982371,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.917447658171183,
              "upper": -0.8210262499212004,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 176,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9251495589201035,
              "upper": -0.8348504410798965,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9215797520036373,
              "upper": -0.8267276488358777,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 177,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9293243227281281,
              "upper": -0.8406756772718719,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.925686626307703,
              "upper": -0.8324530555177461,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 178,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9334723280866823,
              "upper": -0.8465276719133177,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9297668364707883,
              "upper": -0.8382037844304999,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 179,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9375919692264467,
              "upper": -0.8524080307735533,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9338187729712883,
              "upper": -0.8439812944524971,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 180,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9416814489340108,
              "upper": -0.8583185510659892,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.937840633745934,
              "upper": -0.8497872121322443,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 181,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9457387449147866,
              "upper": -0.8642612550852135,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9418303902748797,
              "upper": -0.8556233600231475,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 182,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9497615681100114,
              "upper": -0.8702384318899886,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9457857455439036,
              "upper": -0.8614917915261779,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 183,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9537473104775499,
              "upper": -0.8762526895224502,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9497040813697428,
              "upper": -0.8673948341704476,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 184,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9576929787793662,
              "upper": -0.8823070212206339,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9535823916001773,
              "upper": -0.8733351439779182,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 185,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9615951094904959,
              "upper": -0.8884048905095042,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9574171962629074,
              "upper": -0.8793157746003386,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 186,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9654496577885112,
              "upper": -0.8945503422114889,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9612044295704372,
              "upper": -0.8853402664628895,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 187,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9692518502473262,
              "upper": -0.9007481497526739,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.964939291343021,
              "upper": -0.8914127634961848,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 188,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9729959855550563,
              "upper": -0.9070040144449436,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9686160461065165,
              "upper": -0.8975381686916755,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 189,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9766751588705607,
              "upper": -0.9133248411294392,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9722277454479935,
              "upper": -0.9037223555660872,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 190,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9802808706206173,
              "upper": -0.9197191293793826,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9757658345278915,
              "upper": -0.9099724622986487,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 191,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9838024542522231,
              "upper": -0.9261975457477768,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9792195777729957,
              "upper": -0.916297311924146,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 192,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9872262084341867,
              "upper": -0.9327737915658132,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9825751910055194,
              "upper": -0.922708031773984,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 193,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9905340222016369,
              "upper": -0.939465977798363,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9858144741015809,
              "upper": -0.9292190016490227,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 194,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.993701075149181,
              "upper": -0.9462989248508189,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9889125443277451,
              "upper": -0.9358493732949731,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 195,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9966917137636035,
              "upper": -0.9533082862363964,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9918338338091575,
              "upper": -0.9426256488731541,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 196,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -0.9994513428358717,
              "upper": -0.9605486571641283,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9945244341204436,
              "upper": -0.9495863909101037,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 197,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -1.0018882752102356,
              "upper": -0.9681117247897643,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.9968958923784466,
              "upper": -0.9567917180822874,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 198,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -1.0038241726832473,
              "upper": -0.9761758273167527,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.998786650986264,
              "upper": -0.9643453316027601,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 199,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -1.0047998199227002,
              "upper": -0.9852001800772997,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -0.999873418972133,
              "upper": -0.9724581015427944,
              "promote": false
            }
          }
        },
        {
          "observed_losses": 200,
          "probability": 0.0,
          "decisions": {
            "clustered_normal_interval": {
              "lower": -1.0,
              "upper": -1.0,
              "promote": false
            },
            "exact_binomial_special_case": {
              "lower": -1.0,
              "upper": -0.9817246596448637,
              "promote": false
            }
          }
        }
      ]
    }
  ],
  "unequal_clusters": {
    "equal_customer_difference": 0.0,
    "pooled_task_difference": -0.8,
    "independent_clusters": 30,
    "task_pairs": 150,
    "design": "15 customers each gain 1/1; 15 customers each lose 9/9"
  }
}
