n Sample EfficiencyOpen the planner

A binary-outcome study planner

How much does
another sample help?

Compare two sample sizes at the same assumed rate. Then use your actual counts to see how wide the interval is.

01 / Plan

Compare two sample sizes

Use the full distance between the two endpoints for your target.

02 / Measure

Calculate from observed counts

This section uses the confidence level selected above.

Method

Read the bounds together

The planner uses the Wilson score interval at a fixed assumed rate. The observed interval uses your actual positive and total counts. Both assume independent observations with the same underlying rate.

A confidence interval describes sampling uncertainty. Sampling bias and missing responses need their own checks.

NIST handbook on confidence intervals for proportions