{"slug":"stats-tests-x402tookit-com-binomial-test-dc5381","title":"Exact binomial test of k successes in n trials vs a hypothesised probability, wi","host":"stats-tests.x402tookit.com","method":"GET","resource":"https://stats-tests.x402tookit.com/binomial-test","category":"other","description":"Exact binomial test of k successes in n trials vs a hypothesised probability, with p-values and the Clopper-Pearson CI.","price_listed":0.02,"price_asked":0.02,"state":"answering","state_label":"Answering","checks_7d":1,"answered_7d":1,"latency_ms_median":654,"reported_calls_30d":1,"reported_payers_30d":1,"networks":["eip155:137","eip155:42161","eip155:8453","solana:5eykt4UsFv8P8NJdTREpY1vzqKqZKvdp"],"badge":"unverified","paid_checks_7d":0,"paid_ok_7d":0,"example_input":{"method":"GET","queryParams":{"p0":0.5,"successes":8,"trials":10},"type":"http"},"output_schema":{"$schema":"https://json-schema.org/draft/2020-12/schema","properties":{"input":{"additionalProperties":false,"properties":{"method":{"enum":["GET"],"type":"string"},"queryParams":{"properties":{"confidence":{"description":"Interval level 0.8 to 0.999 (default 0.95)","type":"number"},"p0":{"description":"Hypothesised success probability (default 0.5)","type":"number"},"successes":{"description":"Number of successes k","type":"integer"},"trials":{"description":"Number of trials n","type":"integer"}},"required":["successes","trials"],"type":"object"},"type":{"const":"http","type":"string"}},"required":["type","method"],"type":"object"},"output":{"properties":{"example":{"properties":{"asOf":{"type":["null","string"]},"clopperPearson":{"properties":{"level":{"type":["null","number"]},"lower":{"type":["null","number"]},"upper":{"type":["null","number"]}},"type":["null","object"]},"degraded":{"type":["boolean","null"]},"disclaimer":{"type":["null","string"]},"hypothesisedProbability":{"type":["null","number"]},"notChecked":{"items":{"type":"string"},"type":["array","null"]},"pValueGreater":{"type":["null","number"]},"pValueLess":{"type":["null","number"]},"pValueTwoSided":{"type":["null","number"]},"reasons":{"items":{"type":"string"},"type":["array","null"]},"sampleProportion":{"type":["null","number"]},"significantAt5pct":{"type":["boolean","null"]},"source":{"type":["null","string"]},"successes":{"type":["null","number"]},"summary":{"type":["null","string"]},"trials":{"type":["null","number"]},"verdict":{"type":["null","string"]}},"type":"object"},"type":{"type":"string"}},"required":["type"],"type":"object"}},"required":["input"],"type":"object"},"history":[{"day":"2026-10-21","reachable":true,"status":402,"valid_402":true,"asked_usdc":0.02,"price_match":true,"latency_ms":654,"error":null}],"description_full":"Exact binomial test of k successes in n trials vs a hypothesised probability, with p-values and the Clopper-Pearson CI.","last_updated":"2026-10-20T20:47:14.178Z","schemes":["exact"]}