One-Sample Proportion Calculator

Free

Calculate the sample size needed to test a single proportion against a known or hypothesized value.

Study Parameters
Results

Required Sample Size

44

Achieved Power

80.4%

Effect Size

0.412

Method: Two-sided one-proportion z-test
Cohen's h0.412
Absolute difference0.200
  • Binary outcome
  • Normal approximation to the binomial distribution
  • Two-sided hypothesis test
Formula
n = [z_{alpha/2} * sqrt(p0*q0) + z_beta * sqrt(p1*q1)]^2 / (p1 - p0)^2
References
  1. Fleiss JL (1981). Statistical Methods for Rates and Proportions. Wiley.