Sample Size Calculator

Estimate how many responses a proportion-based survey may require.

Use 50% when the expected proportion is unknown.

About the Sample Size Calculator

This calculator estimates a starting survey sample size for measuring a population proportion under common confidence levels.

How to use it

  1. Choose a 90%, 95%, or 99% confidence level.
  2. Enter the margin of error and expected proportion as percentages.
  3. Optionally enter a finite population size, then calculate the required response count.

Calculation logic

The initial estimate uses n = z squared times p times (1 - p), divided by the squared margin of error. A finite population correction is applied when population size is provided.

Choosing the proportion

When no prior estimate is available, 50% is conservative because it produces the largest required sample under the proportion formula.

Planning note

The result estimates completed responses, not invitations. Real surveys may need a larger outreach pool to account for nonresponse and sampling design.