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# Fisher's Test of Proportions

The two sample test of proportions compares the proportions of two arms of a study, $$p_1$$ and $$p_2$$.

Note: There does not exist a closed form formula for the power of the bionomial test so this calculator uses simulations to solve for power. For large sample sizes, large sample theory can be used.

## Power Calculation Parameters

To input multiple values, seperate them by a comma.

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## Power Calculation Explanation

Solve For
The unknown you are interested in solving for.
N
The sample size used to test the hypothesis.
Alpha
The $$\alpha$$ (Type I error rate) level of the hypothesis test.
Power
The power (1 - Type II error rate) of the hypothesis test.
P (Arm 1)
The estimated proportion from arm 1 ($$p_1$$). If you are comparing a difference in proportions to zero, set this value to the difference.
P (Arm 2)
The estimated proportion from arm 2 ($$p_2$$). If you are comparing a difference in proportions to zero, set this value to zero.

## Calculation Results

No calculation has been generated yet.

N (Arm 1) N (Arm 2) Alpha Power Proportion (Arm 1) Proportion (Arm 2) Margin
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