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Sample Size

Sample size for

Result

n required Margin of error
7 4.6242

How-to

Sample Size for One-Sample Proportion Test

Work out the sample size or power for testing a single binomial proportion against a hypothesized value. Enter your null and expected proportions, choose normal or exact methods, and set alpha and power targets to size the study confidently.

When to use

  • Checking whether a pass rate meets a required threshold
  • Validating conversion rates against a benchmark
  • Designing prevalence studies with a single proportion

Inputs needed

  • Null proportion (p0) and expected proportion (p1)
  • Choice of exact or normal approximation
  • Alpha level, target power, and test sidedness

Cite numiqo: numiqo Team (2026). numiqo: Online Statistics Calculator. numiqo e.U. Graz, Austria. URL https://numiqo.com