A simple random sample of size \( n=50 \) is obtained from a population whose size is \( \mathrm{N}=25,000 \) and whose population proportion with a specified characteristic is \( p=0.4 \). Complete parts ( (a) Describe the sampling distribution of \( \hat{p} \). Choose the phrase that best describes the shape of the sampling distribution. B. Approximately normal because \( n \leq 0.05 \mathrm{~N} \) and \( n p(1-p) \geq 10 \) C. Not normal because \( n \leq 0.05 \mathrm{~N} \) and \( n p(1-p)<10 \) D. Not normal because \( n \leq 0.05 \mathrm{~N} \) and \( n p(1-p) \geq 10 \) Determine the mean of the sampling distribution of \( \hat{p} \). \( \mu_{\hat{p}}=\square \) (Round to one decimal place as needed.)
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