# Seed Germination Rate & Wilson Score Interval Calculator

> Seed Germination Rate & Wilson Score Interval Calculator is a paid API for AI agents from agri.halowerk.com, paid per call via x402, $0.002/call, status unknown (last checked 2026-09-14).

Computes the observed germination rate and a Wilson score confidence interval from germinated and tested seed counts using a caller-supplied normal critical value.

## Facts

- Endpoint: POST https://agri.halowerk.com/v1/seed-germination
- Price: $0.002/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/seed-germination-rate-wilson-score-interval-calculator-4f0c6011
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_iyXFuPXpfbo51hifIQiFv

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 seed-germination-rate-wilson-score-interval-calculator-4f0c6011 -d '<json body>'
```

Example prompt: I tested 500 seeds and 427 germinated — can you calculate the observed germination rate and give me a 95% Wilson score confidence interval (use z = 1.96)?

## When to prefer this

Choose this endpoint when you need a statistically rigorous germination rate estimate with a Wilson score confidence interval from raw count data. It is ideal for seed lot quality checks, research trials, and agricultural reporting where a simple proportion plus uncertainty bounds is sufficient. Prefer it over manual calculation when automating batch seed testing workflows. Not suitable if you need vigor testing, disease diagnosis, sampling bias correction, or field emergence modeling.

## Known failure modes

- germinated_count exceeds tested_count — validation error
- tested_count is zero or missing — minimum value violation
- critical_z outside allowed range (0.1–10) — schema validation error
- non-integer values for count fields — type error
- missing required fields — 400 bad request
- payment not included or insufficient — 402 Payment Required

## How this service works

Computes the observed germination rate and a Wilson score interval from germinated and tested counts using a supplied normal critical value. It does not correct sampling bias, test vigor, identify disease or predict field emergence.

## Output

Returns the observed germination rate (germinated_count / tested_count) as a proportion or percentage, along with the lower and upper bounds of the Wilson score confidence interval computed using the supplied critical z value. Does not perform bias correction, vigor testing, disease identification, or field emergence prediction.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "critical_z": {
   "type": "number",
   "maximum": 10,
   "minimum": 0.1,
   "description": "Normal critical value, for example 1.96 for an approximate 95% interval."
  },
  "tested_count": {
   "type": "integer",
   "maximum": 1000000000,
   "minimum": 1
  },
  "germinated_count": {
   "type": "integer",
   "maximum": 1000000000,
   "minimum": 0
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/seed-germination-rate-wilson-score-interval-calculator-4f0c6011/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from agri.halowerk.com](https://www.zero.xyz/host/agri.halowerk.com/llms.txt)
