{"uid":"cap_sBUS9gdYLSPx7Kcs_IfZT","slug":"numora-hypothesis-testing-api-1ee1de96","name":"Numora Hypothesis Testing API","description":"100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.","url":"https://numomo.vercel.app/api/statistics/hypothesis","method":"POST","headers":{},"bodySchema":{"type":"object","required":["data"],"properties":{"data":{"type":"array"},"params":{"type":"object","description":"Test parameters (mu, alpha, etc.)"}}},"responseSchema":{"type":"object","required":["success","result","computation"],"properties":{"result":{"type":"object","description":"Computation result varies by endpoint"},"success":{"type":"boolean","description":"Always true on success"},"computation":{"type":"string","description":"Human-readable description of what was computed"}}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.1","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"registry","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.1/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_ccJUmYyEVzz3LGS0nZC2I","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.1","costPer":"request","priority":0,"asset":null,"unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Performs statistical hypothesis tests (e.g. t-tests, z-tests) on a dataset with configurable test parameters such as mu and alpha.","exampleAgentPrompt":"Run a hypothesis test on this dataset [12.3, 14.1, 13.8, 15.2, 11.9, 13.5] to check if the population mean is 13.0, using a significance level of 0.05.","exampleUseCases":[{"title":"A/B test significance check","prompt":"I ran an experiment and got these response times in milliseconds: [210, 198, 225, 205, 215, 190]. Test whether the true mean response time is significantly different from 200ms at the 0.05 significance level."},{"title":"Quality control threshold test","prompt":"We sampled 8 widgets with weights [50.1, 49.8, 50.5, 49.7, 50.3, 49.9, 50.2, 50.0] grams. Can you run a hypothesis test to see if the process mean has drifted from the target of 50.0 grams using alpha 0.05?"},{"title":"Clinical trial mean comparison","prompt":"Here are the post-treatment scores for 10 patients: [78, 82, 75, 88, 71, 85, 79, 83, 76, 80]. Test whether the average score is statistically different from the baseline of 74, using significance level 0.01."}],"resultDescription":"Returns a JSON object with a success boolean, a human-readable computation description, and a result object containing the test statistic, p-value, conclusion about the null hypothesis, and other relevant test outputs such as degrees of freedom or critical value.","failureModes":["Missing required 'data' array returns a validation error","Empty or single-element array may cause division-by-zero or insufficient degrees of freedom","Invalid parameter types (non-numeric mu or alpha) return an error","Alpha outside (0,1) range may cause undefined behavior","Payment failure via x402 results in 402 response before computation occurs"],"whenToPreferThis":"Choose this endpoint when you need a pure server-side, zero-dependency hypothesis test computation without setting up a Python/R statistical environment. Ideal for AI agents that need on-demand statistical significance testing as part of an automated workflow, especially when micropayment-per-call economics are acceptable and no statistical software stack is available.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-16T00:49:39.926Z","isFirstParty":false}