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Suppose a simple random sample of size n= 125 is obtained from a population whose size is N= 25,000 and whose population proportion with a specified characteristic is p = 0.8. 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) 2 10. O B. Approximately normal because ns0.05N and np(1- p) 2 10. OC. Not normal because ns0.05N and np(1- p) < 10. O D. Approximately normal because ns0.05N and np(1- p) < 10. Determine the mean of the sampling distribution of p. H. = (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p. Ga =(Round to six decimal places as needed.) (b) What is the probability of obtaining x= 105 or more individuals with the characteristic? That is, what is P(pz0.84)? P(p20.84) = (Round to four decimal places as needed.) (c) What is the probability of obtaining x= 90 or fewer individuals with the characteristic? That is, what is P(ps0.72)? Pôs0,72) = (Round to four decimal places as needed.)

Suppose a simple random sample of size n= 125 is obtained from a population whose size is N= 25,000 and whose population proportion with a specified characteristic is p = 0.8. 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) 2 10. O B. Approximately normal because ns0.05N and np(1- p) 2 10. OC. Not normal because ns0.05N and np(1- p) < 10. O D. Approximately normal because ns0.05N and np(1- p) < 10. Determine the mean of the sampling distribution of p. H. = (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p. Ga =(Round to six decimal places as needed.) (b) What is the probability of obtaining x= 105 or more individuals with the characteristic? That is, what is P(pz0.84)? P(p20.84) = (Round to four decimal places as needed.) (c) What is the probability of obtaining x= 90 or fewer individuals with the characteristic? That is, what is P(ps0.72)? Pôs0,72) = (Round to four decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Suppose a simple random sample of size n= 125 is obtained from a population whose size is N= 25,000 and whose population proportion with a specified characteristic is p= 0.8. 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) 2 10. O B. Approximately normal because ns0.05N and np(1- p) 2 10. O C. Not normal because ns0.05N and np(1- p) < 10. O D. Approximately normal because ns0.05N 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. OA = (Round to six decimal places as needed.) (b) What is the probability of obtaining x= 105 or more individuals with the characteristic? That is, what is P(p 20.84)? P(p20.84) = (Round to four decimal places as needed.) (c) What is the probability of obtaining x = 90 or fewer individuals with the characteristic? That is, what is P(ps0.72)? P(ps0.72) = (Round to four decimal places as needed.)
Transcribed Image Text:Suppose a simple random sample of size n= 125 is obtained from a population whose size is N= 25,000 and whose population proportion with a specified characteristic is p= 0.8. 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) 2 10. O B. Approximately normal because ns0.05N and np(1- p) 2 10. O C. Not normal because ns0.05N and np(1- p) < 10. O D. Approximately normal because ns0.05N 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. OA = (Round to six decimal places as needed.) (b) What is the probability of obtaining x= 105 or more individuals with the characteristic? That is, what is P(p 20.84)? P(p20.84) = (Round to four decimal places as needed.) (c) What is the probability of obtaining x = 90 or fewer individuals with the characteristic? That is, what is P(ps0.72)? P(ps0.72) = (Round to four decimal places as needed.)
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