# Numora Hypothesis Testing

> Numora Hypothesis Testing is a paid API for AI agents from numormo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-14).

Performs statistical hypothesis tests on numeric data arrays, returning test statistics, p-values, and conclusions

## Facts

- Endpoint: POST https://numormo.vercel.app/api/statistics/hypothesis
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-hypothesis-testing-69eac4ca
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_tB9s-PoHfi6t_EshKBnlk

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability numora-hypothesis-testing-69eac4ca -d '<json body>'
```

Example prompt: Run a one-sample hypothesis test on this dataset [12.3, 14.1, 13.8, 15.2, 11.9, 14.7] to see if the mean is significantly different from 13.0, using a significance level of 0.05.

## When to prefer this

Choose this endpoint when you need serverless, dependency-free statistical hypothesis testing without spinning up a Python/R environment. Ideal for agents that need quick, pure-math significance testing on numeric arrays with micropayment billing. Best for one-sample tests against a known population parameter; if you need two-sample tests or ANOVA, check other Numora endpoints.

## Known failure modes

- Empty or missing data array returns validation error
- Data array with fewer than 2 elements may cause test to fail
- Invalid params object (non-numeric mu or alpha outside 0-1) returns error
- Alpha not specified defaults to 0.05 or may cause unexpected behavior
- Non-numeric values in data array cause computation failure
- Payment failure via x402 returns 402 status before computation begins

## How this service works

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.

## Output

Returns a JSON object with success=true, a result object containing the test statistic, p-value, whether the null hypothesis is rejected, and degrees of freedom or other relevant statistical measures, plus a human-readable 'computation' string describing what was computed and what it means.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "data"
 ],
 "properties": {
  "data": {
   "type": "array"
  },
  "params": {
   "type": "object",
   "description": "Test parameters (mu, alpha, etc.)"
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "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"
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/numora-hypothesis-testing-69eac4ca/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numormo.vercel.app](https://www.zero.xyz/host/numormo.vercel.app/llms.txt)
