The alternative formula is derived from the formula Use this formula to derive the alternative formula. Justify

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The alternative formula is derived from the formula

Use this formula to derive the alternative formula. Justify each step.

Use the following information. When you know the number of successes x, the sample size n, and the population proportion p, it can be easier to use the formula

z = x – np / √npq

to find the standardized test statistic when using a z-test for a population proportion p.

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