Kelley Paul
09/30/2024 · Senior High School

Describe the sampling distribution of \( \hat{p} \). Assume the size of the population is 25,000 . \( n=800, p=0.325 \) Describe the shape of the sampling distribution of \( \hat{p} \). Choose the correct answer below. A. The shape of the sampling distribution of \( \hat{p} \) is not normal because \( n \leq 0.05 N \) and \( n p(1-p)<10 \). C. The shape of the sampling distribution of \( \hat{p} \) is approximately normal because \( n \leq 0.05 N \) and \( n p(1-p) \) D. The shape of the sampling distribution of \( \hat{p} \) is approximately normal because \( n \leq 0.05 N \) and \( n p(1-p) \) Determine the mean of the sampling distribution of \( \hat{p} \). \( \mu_{\hat{p}}=\square \) (Round to three decimal places as needed.)

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The shape of the sampling distribution of \( \hat{p} \) is approximately normal because \( n \leq 0.05 N \) and \( n p(1-p) > 10 \). The mean of the sampling distribution of \( \hat{p} \) is 0.325.

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