Suppose a simple random sample of size n 200 is obtained from a population whose size is N 20,000 and whose population proportion with a specified characteristic is p 0 6 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 Not normal because n 0 05N and np(1 p) 10 B Not normal because n 0 05N and np(1 p) 10 C Approximately normal because n 0 05N and np(1 p) 10 D Approximately normal because n 0 05N and np(1 p) 10 of p Determine the mean of the sampling distribution of H (Round to one decimal place as needed ) Determine the standard deviation of the sampling distribution of p (Round to six decimal places as needed ) (b) What is the probability of obtaining x 122 or more individuals with the characteristic That is, what is P(p 0 61) P0 61) (Round to four decimal places as needed ) (c) What is the probability of obtaining x 114 or fewer individuals with the characteristic That is, what is P(p 0 57) P(p0 57) (Round to four decimal places as needed )

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Question: Suppose a simple random sample of size n = 200 is obtained from a population whose size is N = 20,000 and whose population

Suppose a simple random sample of size n = 200 is obtained from a population whose size is N = 20,000 and whose population proportion with a specified characteristic is p=0.6. 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. Not normal because n 0.05N and np(1 - p) 10. B. Not normal because n 0.05N and np(1 - p)

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