P-value from a z-statistic API

Convert a z-statistic into a one- or two-tailed p-value using the standard-normal CDF, with a significance rating at alpha 0.05. Auditable: echoes the tail and z. Answers 'p-value for z=1.96','two-tailed significance of this z-score','is z=2.5 significant'.

Price$0.01per request

MethodPOST

Route/v1/calc/stat-p-value-from-z

StatusLive

MIME typeapplication/json

Rate limit120/minute

CacheNo cache

calcstatisticsp-valuez-testnormalsignificancetailinference

API URLhttps://x402.hexl.dev/v1/calc/stat-p-value-from-z

Integration docs

Example request

{
  "z": 1.96,
  "tail": "two"
}

Example response

{
  "z": 1.96,
  "tail": "two",
  "pValue": 0.04999565,
  "significantAt05": true,
  "rating": "significant",
  "interpretation": "two-tailed p-value for z=1.96 is 0.05."
}

Input schema

{
  "type": "object",
  "required": [
    "z"
  ],
  "properties": {
    "z": {
      "type": "number",
      "examples": [
        1.96
      ]
    },
    "tail": {
      "type": "string",
      "enum": [
        "two",
        "left",
        "right"
      ],
      "default": "two"
    }
  }
}

Output schema

{
  "type": "object",
  "additionalProperties": true
}