Suppose a simple random sample of size n=75 is obtained from a population whose size is N= 15,000 and whose population p
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Suppose a simple random sample of size n=75 is obtained from a population whose size is N= 15,000 and whose population p
Suppose a simple random sample of size n=75 is obtained from a population whose size is N= 15,000 and whose population proportion with a specified characteristic is p=0.4. Complete parts (a) through (c) below. (a) Describe the sampling distribution of p. Choose the phrase that best describes the shape of the sampling distribution below. O A. Not normal because ns0.05N and np(1-P) 10. OB. Approximately normal because ns 0.05N and np(1-P)< 10. O C. Not normal because ns0.05N and np(1-P) 10. OD. Approximately normal because ns0.05N and np(1-P) 2 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. On (Round to six decimal places as needed.) р (b) What is the probability of obtaining x = 36 or more individuals with the characteristic? That is what is PP 20.48)? PP20.48)= (Round to four decimal places as needed.) (c) What is the probability of obtaining x=27 or fewer individuals with the characteristic? That is what is PÔS 0.36)? PPS 0.36)-(Round to four decimal places as needed.)
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