Suppose a simple random sample of size n= 150 is obtained from a population whose size is N= 30,000 and whose population

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Suppose A Simple Random Sample Of Size N 150 Is Obtained From A Population Whose Size Is N 30 000 And Whose Population 1 (69.36 KiB) Viewed 23 times

Suppose a simple random sample of size n= 150 is obtained from a population whose size is N= 30,000 and whose population proportion with a specified characteristic is p=0.4. Complete parts (a) through (c) below. (a) Describe the sampling distribution of o. Choose the phrase that best describes the shape of the sampling distribution below. O A. Not normal because ns0.05N and np(1-P) 2 10. OB. Approximately normal because ns0.05N and np(1-P) < 10. OC. Approximately normal because ns0.05N and np(1-P) 10. OD. Not normal because ns0.05N and np(1-P) < 10 Determine the mean of the sampling distribution of P. (Round to one decimal place as needed) Determine the standard deviation of the sampling distribution of p. qu = (Round to six decimal places as needed) (b) What is the probability of obtaining x = 69 or more individuals with the characteristic? That is what is PC 20.46)? PO 20.46) = (Round to four decimal places as needed.) (c) What is the probability of obtaining x = 54 or fewer individuals with the characteristic? That is what is PO 30.36)? PO 30.36) = (Round to four decimal places as needed)