Suppose a simple random sample of size n 200 is obtained from a population whose size is N 30 000 and whose population

Question

Suppose a simple random sample of size n 200 is obtained from a population whose size is N 30 000 and whose population proportion with a specified characteristic is p 0 8 Complete parts a through c below L a Describe the sampling distribution of p Choose the phrase that best describes the shape of the sampling distribution below O A 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 HA Round to one decimal place as needed Determine the standard deviation of the sampling distribution of p A Round to six decimal places as needed b What is the probability of obtaining x 166 or more individuals with the characteristic That is what is P p 0 83 P p 0 83 Round to four decimal places as needed c What is the probability of obtaining x 152 or fewer individuals with the characteristic That is what is P p 0 76 P p 0 76 Round to four decimal places as needed

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