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Pooled Sample Proportion Formula

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In a pooled two-proportion z-test, the null hypothesis is that the two population proportions are equal. Which of the following formulas correctly represents the pooled sample proportion, pcp_c?

A

pc=x1+x2n1+n2p_c = \frac{x_1 + x_2}{n_1 + n_2}

B

pc=x1×x2n1×n2p_c = \sqrt{\frac{x_1 \times x_2}{n_1 \times n_2}}

C

pc=n1+n2x1+x2p_c = \frac{n_1 + n_2}{x_1 + x_2}

D

pc=x1n1−x2n2p_c = \frac{x_1}{n_1} - \frac{x_2}{n_2}

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