researchtools
Statistics

Proportion Sample Size

Estimate survey sample size for a single proportion.

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ABOUT THIS TOOL

Estimate the required sample size to measure a single proportion within a specified margin of error, with optional finite-population correction.

Important: This is for a simple random sample estimating one proportion. It is not a clinical trial power calculation and does not account for nonresponse, design effects or clustering.

How it works

Method: n₀ = z² × p(1 − p)/e², where e is the margin of error as a proportion. Optional finite population correction: n = n₀/[1 + (n₀ − 1)/N].

Example: At 95% confidence with 5% margin and a 50% expected proportion, a large population requires 385 observations; with N = 1,000, the estimate is 278.

Cite this toolCopy · BibTeX · RIS

If you use this calculator in research, you may cite the software and report the statistical methods separately. Citation is appreciated, not required. No DOI is registered for this release.

Biotech Insight Solutions. ResearchTools: Proportion Sample Size (version 1.4) [Software]. 2026. Available at: https://tools.biotech-insight.com/tools/proportion-sample-size/

A citation cannot replace a methods description or independent verification. Report version, statistical assumptions and data-processing choices.

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