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The two sample test of proportions compares the proportions of two arms of a study, \(p_1\) and \(p_2\). This calculator uses large sample theory, which relies on the convergance in distribution of a binomial random variable with parameter \(p\) to a normal random variable with mean \(p\) and variance \(p (1 - p\)).

To input multiple values, seperate them by a comma.

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N (Arm 1) | N (Arm 2) | Alpha | Power | Proportion (Arm 1) | Proportion (Arm 2) | Margin |
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- Chow, S., Shao, J., & Wang, H. (2003),
*Sample size calculations in clinical research,*New York: Marcel Dekker.