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Everyday Calculators · runs locally

Proportion Sample Size Calculator

Estimate an unadjusted sample size for a proportion from confidence z-score, expected proportion and margin of error.

Ready. Your working data stays in this browser.

Why this tool is useful

Create a transparent first estimate for a simple random sample before applying finite-population or design-effect adjustments.

How it works

It applies n = z² × p(1-p) ÷ e² and reports the unrounded result.

Practical example

At z=1.96, p=50% and margin=5%, the estimate is about 384.16.

Validation

The calculation is deterministic and explains validation errors instead of silently changing invalid input.

Privacy boundary

Input and output remain in this tab. Copy and download happen through browser APIs without a server upload.

Result passport

Every run reports its tool mode, timestamp and input/output size so transformed data can be audited.