One-proportion z-test API

Tests an observed proportion against a hypothesized value with the normal approximation, returning z, the one/two-tailed p-value and the standard error. Answers 'Is my observed rate significantly different from the expected rate?', 'What is the z and p for a single proportion?'.

Price$0.04per request

MethodPOST

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

StatusLive

MIME typeapplication/json

Rate limit120/minute

Cache0s public

statisticsproportionz-testhypothesis-testp-valueinferencebinomialsignificance

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

Integration docs

Example request

{
  "successes": 540,
  "n": 1000,
  "p0": 0.5
}

Example response

{
  "z": 2.529822,
  "pValue": 0.01141208,
  "tail": "two",
  "alpha": 0.05,
  "sampleProportion": 0.54,
  "hypothesizedProportion": 0.5,
  "standardError": 0.015811,
  "successes": 540,
  "n": 1000,
  "rejectNull": true,
  "rating": "significant",
  "interpretation": "two-tailed one-proportion z=2.53, p=0.01141; p̂=0.54 vs p0=0.5; reject H0 at alpha=0.05."
}

Input schema

{
  "type": "object",
  "required": [
    "successes",
    "n",
    "p0"
  ],
  "properties": {
    "successes": {
      "type": "integer",
      "examples": [
        540
      ]
    },
    "n": {
      "type": "integer",
      "examples": [
        1000
      ]
    },
    "p0": {
      "type": "number",
      "examples": [
        0.5
      ]
    },
    "tail": {
      "type": "string",
      "enum": [
        "two",
        "left",
        "right"
      ]
    },
    "alpha": {
      "type": "number",
      "examples": [
        0.05
      ]
    }
  }
}

Output schema

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