Two-proportion z-test API

Compares two independent proportions with a pooled-variance z-test, returning z, p-value, both rates, the pooled proportion and the difference. Answers 'Are these two conversion rates significantly different?', 'What is the z-statistic comparing two proportions?'.

Price$0.04per request

MethodPOST

Route/v1/stats/two-proportion-z-test

StatusLive

MIME typeapplication/json

Rate limit120/minute

Cache0s public

statisticsproportionz-testtwo-sampleab-testp-valueinferenceconversion

API URLhttps://x402.hexl.dev/v1/stats/two-proportion-z-test

Integration docs

Example request

{
  "successes1": 120,
  "n1": 200,
  "successes2": 90,
  "n2": 200
}

Example response

{
  "z": 3.003757,
  "pValue": 0.00266682,
  "tail": "two",
  "alpha": 0.05,
  "proportion1": 0.6,
  "proportion2": 0.45,
  "pooledProportion": 0.525,
  "difference": 0.15,
  "standardError": 0.049937,
  "rejectNull": true,
  "rating": "significant",
  "interpretation": "Two-proportion z=3.004, p=0.00267; p1=0.6 vs p2=0.45; reject H0 (equal proportions) at alpha=0.05."
}

Input schema

{
  "type": "object",
  "required": [
    "successes1",
    "n1",
    "successes2",
    "n2"
  ],
  "properties": {
    "successes1": {
      "type": "integer",
      "examples": [
        120
      ]
    },
    "n1": {
      "type": "integer",
      "examples": [
        200
      ]
    },
    "successes2": {
      "type": "integer",
      "examples": [
        90
      ]
    },
    "n2": {
      "type": "integer",
      "examples": [
        200
      ]
    },
    "tail": {
      "type": "string",
      "enum": [
        "two",
        "left",
        "right"
      ]
    },
    "alpha": {
      "type": "number",
      "examples": [
        0.05
      ]
    }
  }
}

Output schema

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