Question

20,000 and whose population proportion with a specified characteristic Suppose a simple random sample of size n= 75 is obtained from a population whose size is N is p = 0.2 Choose the phrase that best describes the shape of the sampling distribution below. A Approximately normal because ns0.05N and np(1-P) <10. B. Approximately normal because ns0.05N and np(1-P) 10. C. Not normal because ns 0.05N and np(1-P) < 10. OD. Not normal because ns0.05N and np(1-P) 10. Determine the mean of the sampling distribution of = 0.2 (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of P. A = .046188 (Round to six decimal places as needed.) (b) What is the probability of obtaining x 21 or more individuals with the characteristic? That is, what is pp 20.28)? PO20.28)- (Round to four decimal places as needed.)

Answer 1

I Ans: n = 75, N=20,000, p=0.2 D 1=21 -> 36 -0.28 (820.28) - pl 8 - p > 0.28-0.27 PO 0,2x0.8 = P(2173) = 1-plz 51.73) - - 0.95818 = 0.02182 Therefore, BC820.88) = 10.0418) 75