Lang Marsh
08/23/2024 · High School

Describe the sampling distribution of \( \hat{p} \). Assume the size of the population is 20,000 . \( n=700, p=0.6 \) Choose the phrase that best describes the shape of the sampling distribution of \( \hat{p} \) below. A. Approximately normal because \( n \leq 0.05 \mathrm{~N} \) and \( n p(1-p)<10 \). Not normal because \( n \leq 0.05 \mathrm{~N} \) and \( n p(1-p) \geq 10 \). D. Not normal because \( n \leq 0.05 \mathrm{~N} \) and \( n p(1-p)<10 \). Determine the mean of the sampling distribution of \( \hat{p} \). \( \mu_{p}=0.6 \) (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of \( \hat{p} \). \( \sigma_{\hat{p}}=\square \) (Round to three decimal places as needed.)

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The sampling distribution of \( \hat{p} \) is approximately normal. The mean of the sampling distribution is \( \mu_{p} = 0.6 \). The standard deviation of the sampling distribution is \( \sigma_{\hat{p}} \approx 0.019 \).

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