Describe the sampling distribution of p. Assume the size of the population is 10

Question

Describe the sampling distribution of p. Assume the size of the population is 10,000 n-400, p#0.4 Choose the phrase that best describes the shape of the sampling distribution of p below. O A. Not normal because ns 0.05N and np(1-p)2 10. B. Approximately normal because ns0.05N and np(1 -p)10. C.Approximately normal because ns0.05N and np(1 -p)210. D. Not normal because ns 0.05N and np(1-p) 10. Determine the mean of the sampling distribution of p. H 04 (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p. ound to three decimal places as needed)

Explanation / Answer

solution:-
given that
determine the mean of the sampling distribution p^
µp = p
then µp = 0.4

determine the standard deviation of the sampling distribution of p^
p = sqrt((p*q)/n)
p = sqrt((0.4*0.6)/400)
= 0.024

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