Suppose a simple random sample of size n 150 is obtained from a population whose size is N 20 000 and whose population

Question

Suppose a simple random sample of size n 150 is obtained from a population whose size is N 20 000 and whose population proportion with a specified characteristic is p 0 2 Complete parts a through c below a Describe the sampling distribution of p Choose the phrase that best describes the shape of the sampling distribution below OA Approximately normal because n 0 05N and np 1 p 10 OB Not normal because n 0 05N and np 1 p 10 OC Not normal because n 0 05N and np 1 p 10 O D Approximately normal because n 0 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 Round to six decimal places as needed JA P b What is the probability of obtaining x 33 or more individuals with the characteristic That is what is P p 0 22 P p 0 22 c What is the P p 0 12 Round to four decimal places as needed probability of obtaining x 18 or fewer individuals with the characteristic That is what is P p 0 12 Round to four decimal places as needed

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