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Comparison of Proportions in Two Independent Samples
Using Pearson Chi-Square Test

This calculator sizes a study comparing two independent proportions using the Pearson chi-square test (equivalently, a two-proportion z-test), via the standard normal-approximation sample-size formula. It does not apply a continuity correction, matching the uncorrected chi-square test.

Calculate Sample Size
Value between 0.5 and 0.99
Value between 0 and 1
Value between 0 and 1
Typically 1 for equal group sizes
Typically 0.05 for 95% confidence
Calculate Power
Value between 0 and 1
Value between 0 and 1
Positive integer
Positive integer
Typically 0.05 for 95% confidence