# Numora Hypothesis Testing API

> Numora Hypothesis Testing API is a paid API for AI agents from numomo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-13).

Performs statistical hypothesis tests (e.g. t-tests, z-tests) on a dataset with configurable test parameters such as mu and alpha.

## Facts

- Endpoint: POST https://numomo.vercel.app/api/statistics/hypothesis
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-13
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-hypothesis-testing-api-1ee1de96
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_sBUS9gdYLSPx7Kcs_IfZT

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-api-1ee1de96 -d '<json body>'
```

Example prompt: 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.

## When to prefer this

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.

## Known failure modes

- 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

## 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 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.

## 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-api-1ee1de96/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numomo.vercel.app](https://www.zero.xyz/host/numomo.vercel.app/llms.txt)