{"uid":"cap_iyXFuPXpfbo51hifIQiFv","slug":"seed-germination-rate-wilson-score-interval-calculator-4f0c6011","name":"Seed Germination Rate & Wilson Score Interval Calculator","description":"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.","url":"https://agri.halowerk.com/v1/seed-germination","method":"POST","headers":{},"bodySchema":{"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}}},"responseSchema":null,"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.002","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","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":"$0.002/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.002","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.002","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_Hbkdm_j4qgmwbp6YWceYn","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.002","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes the observed germination rate and a Wilson score confidence interval from germinated and tested seed counts using a caller-supplied normal critical value.","exampleAgentPrompt":"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)?","exampleUseCases":[{"title":"Seed lot quality verification","prompt":"We tested 1000 seeds from a new seed lot and 912 germinated. Calculate the germination rate and Wilson score confidence interval using z = 1.96 so we can decide whether this lot meets our 90% germination standard."},{"title":"Small-batch research trial analysis","prompt":"In my lab germination trial I tested 80 seeds and 67 sprouted. What's the observed germination rate and the 99% Wilson confidence interval? Use a critical z of 2.576."},{"title":"Comparing germination across storage conditions","prompt":"I stored 200 seeds under cool conditions and 188 germinated, and another 200 under ambient conditions where only 154 germinated. Can you calculate the germination rate and 95% Wilson interval (z = 1.96) for each batch separately?"}],"resultDescription":"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.","failureModes":["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"],"whenToPreferThis":"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.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T12:32:42.845Z","isFirstParty":false}