# Describe the sampling distribution of p. Assume the size of the population is 20,000.n 800, p 0.356Describe the shape of the sampling distribution of p. Choose the correct answer below.A.The shape of the sampling distribution of p is not normal because n s 0.05N and np(1 - p)< 10В.The shape of the sampling distribution of p is approximately normal because ns0.05N and np(1 -p) 10AС.The shape of the sampling distribution of p is approximately normal because ns0.05N and np(1 -p)2 10D.The shape of the sampling distribution of p is not normal because ns 0.05N and np(1 -p)z 10.Determine the mean of the sampling distribution of p.(Round to three decimal places as needed.)HAрDetermine the standard deviation of the sampling distribution of p.(Round to three decimal places as needed.)р

Question help_outlineImage TranscriptioncloseDescribe the sampling distribution of p. Assume the size of the population is 20,000. n 800, p 0.356 Describe the shape of the sampling distribution of p. Choose the correct answer below. A. The shape of the sampling distribution of p is not normal because n s 0.05N and np(1 - p)< 10 В. The shape of the sampling distribution of p is approximately normal because ns0.05N and np(1 -p) 10 A С. The shape of the sampling distribution of p is approximately normal because ns0.05N and np(1 -p)2 10 D. The shape of the sampling distribution of p is not normal because ns 0.05N and np(1 -p)z 10. Determine the mean of the sampling distribution of p. (Round to three decimal places as needed.) HA р Determine the standard deviation of the sampling distribution of p. (Round to three decimal places as needed.) р fullscreen
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Step 1

The provided information is as follows:

Step 2

According to the central limit theorem, the normal approximation is not accurate for small values of n so it is better to use normal approximation only if n ≤ 0.05N and np (1-p) > 10. help_outlineImage Transcriptionclose0.05x N 0.05x 20000 1000 n(800) np(1-p) 800x 0.356 x 0.644 183.41 >10 Therefore, option C is correct fullscreen
Step 3

According to the central limit theorem, sample proportion that is p̂ is normally distributed wit...

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