Questions: Describe the sampling distribution of p̂. Assume the size of the population is 30,000. n=900, p=0.572 Describe the shape of the sampling distribution of p̂. Choose the correct answer below. A. The shape of the sampling distribution of p̂ is approximately normal because n ≤ 0.05 N and n p(1-p) ≥ 10. B. The shape of the sampling distribution of p̂ is not normal because n ≤ 0.05 N and np(1-p) ≥ 10. C. The shape of the sampling distribution of p̂ is approximately normal because n ≤ 0.05 N and np(1-p)<10. D. The shape of the sampling distribution of p̂ is not normal because n ≤ 0.05 N and n p(1-p)<10. Determine the mean of the sampling distribution of p̂. μp= (Round to three decimal places as needed.) Determine the standard deviation of the sampling distribution of p̂ σp̂= (Round to three decimal places as needed.)

Transcript text: Describe the sampling distribution of $\hat{p}$. Assume the size of the population is 30,000 . \[ \mathrm{n}=900, \mathrm{p}=0.572 \] 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 $n p(1-p) \geq 10$. B. The shape of the sampling distribution of $\hat{p}$ is not normal because $n \leq 0.05 \mathrm{~N}$ and $\mathrm{np}(1-\mathrm{p}) \geq 10$. C. The shape of the sampling distribution of $\hat{p}$ is approximately normal because $n \leq 0.05 \mathrm{~N}$ and $\mathrm{np}(1-\mathrm{p})<10$. D. The shape of the sampling distribution of $\hat{p}$ is not normal because $n \leq 0.05 \mathrm{~N}$ and $n p(1-p)<10$. Determine the mean of the sampling distribution of $\hat{p}$. $\mu_{p}=$ $\square$ (Round to three decimal places as needed.) Determine the standard deviation of the sampling distribution of $\hat{p}$ $\sigma_{\hat{p}}=$ $\square$ (Round to three decimal places as needed.)