Describe the sampling distribution of . Assume the size of the population is 20,

Question

Describe the sampling distribution of . Assume the size of the population is 20,000. 500, p #0.7 Choose the phrase that best describes the shape of the sampling distribution of p below. O A. Not normal because n s0.05N and np(1-p)2 10. O B. Not normal because n sO.05N and np(1-p)s 10. C. Approximately normal because n so.05N and np(1-p)210. 0 D. Approximately normal because n s 0.05N and np(1-p)s 10. Determine the mean of the sampling distribution of p. = L(Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p. %" -10 (Round to three decimal places as needed.)

Explanation / Answer

Optionn C is correct as n < 0.05 N and np(1-p)> = 10

Mean of the sampling distribution p^ = 0.7

Standard deviation of samling distribution of p^ = sqrt [p^ * (1- p^)/N] = sqrt [0.7 * 0.3/500] = 0.020

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