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Suppose a simple random sample of size n = 200 is obtained from a population whose size is N= 15,000 and whose population proportion with a specified characteristic is p = 0.2. 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) < 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)2 10. O D. Not normal becausens0.05N and np(1 -p)< 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. Gn = (Round to six decimal places as needed.)

Suppose a simple random sample of size n = 200 is obtained from a population whose size is N= 15,000 and whose population proportion with a specified characteristic is p = 0.2. 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) < 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)2 10. O D. Not normal becausens0.05N and np(1 -p)< 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. Gn = (Round to six 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 22PFA
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Question #23 Part A

Suppose a simple random sample of size n = 200 is obtained from a population whose size is N = 15,000 and whose population proportion with a specified characteristic is p = 0.2. 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. A. Approximately normal because n<0.05N and np(1 - p)< 10. B. Approximately normal because ns0.05N and np(1 - p) 2 10. O C. Not normal becausens0.05N and np(1 - p) > 10. D. Not normal because ns0.05N and np(1 - p)< 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. OA = (Round to six decimal places as needed.)
Transcribed Image Text:Suppose a simple random sample of size n = 200 is obtained from a population whose size is N = 15,000 and whose population proportion with a specified characteristic is p = 0.2. 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. A. Approximately normal because n<0.05N and np(1 - p)< 10. B. Approximately normal because ns0.05N and np(1 - p) 2 10. O C. Not normal becausens0.05N and np(1 - p) > 10. D. Not normal because ns0.05N and np(1 - p)< 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. OA = (Round to six decimal places as needed.)
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