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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. Approximately normal because ns0.05N and np(1 - p) 2 10. O B. Approximately normal because ns0.05N and np(1 - p) < 10. O C. Not normal because ns0.05N and np(1-p)< 10. O D. Not normal becausens0.05N and np(1 -p) 2 10. Determine the mean of the sampling distribution of p. HA = (Round to one decimal place 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. Approximately normal because ns0.05N and np(1 - p) 2 10. O B. Approximately normal because ns0.05N and np(1 - p) < 10. O C. Not normal because ns0.05N and np(1-p)< 10. O D. Not normal becausens0.05N and np(1 -p) 2 10. Determine the mean of the sampling distribution of p. HA = (Round to one decimal place 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 20PFA
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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. %3D (a) Describe the sampling distribution of p. Choose the phrase that best describes the shape of the sampling distribution below. A. Approximately normal because n<0.05N and np(1 - p) 2 10. B. Approximately normal because ns0.05N and np(1 - p) < 10. C. Not normal because ns0.05N and np(1 - p)< 10. D. Not normal because ns0.05N and np(1 - p) 2 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. (Round to six 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. %3D (a) Describe the sampling distribution of p. Choose the phrase that best describes the shape of the sampling distribution below. A. Approximately normal because n<0.05N and np(1 - p) 2 10. B. Approximately normal because ns0.05N and np(1 - p) < 10. C. Not normal because ns0.05N and np(1 - p)< 10. D. Not normal because ns0.05N and np(1 - p) 2 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. (Round to six decimal places 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 = 105 or more individuals with the characteristic? That is, what is P(p2 0.84)? 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.) %3D
Transcribed Image Text: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 = 105 or more individuals with the characteristic? That is, what is P(p2 0.84)? 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.) %3D
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