(Solved): Describe the sampling distribution of \( \hat{p} \). Assume the size of the population is 25,000 . ...

Describe the sampling distribution of \( \hat{p} \). Assume the size of the population is 25,000 . \[ \mathrm{n}=1000, \mathrm{p}=0.741 \] 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 approximately normal because \( n \leq 0.05 \mathrm{~N} \) and \( n p(1-p)<10 \). B. The shape of the sampling distribution of \( \hat{p} \) is not normal because \( n \leq 0.05 \mathrm{~N} \) and \( n p(1-p)<10 \). C. The shape of the sampling distribution of \( \hat{p} \) is approximately normal because \( n \leq 0.05 \mathrm{~N} \) and \( n p(1-p) \geq 10 \). D. The shape of the sampling distribution of \( \hat{p} \) is not normal because \( n \leq 0.05 \mathrm{~N} \) and \( n p(1-p) \geq 10 \). Determine the mean of the sampling distribution of \( \hat{p} \). \( \mu_{p}= \) (Round to three decimal places as needed.)