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 isp=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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 isp=D0.2. 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. Not normal becausens0.05N and np(1- p)< 10.
O C. Not normal because ns0.05N and np(1-p)2 10.
OD. Approximately normal because ns0.05N and np(1 - p) 2 10.
Determine the mean of the sampling distribution of p.
HA = 0.2 (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.)
Transcribed Image Text: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 isp=D0.2. 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. Not normal becausens0.05N and np(1- p)< 10. O C. Not normal because ns0.05N and np(1-p)2 10. OD. Approximately normal because ns0.05N and np(1 - p) 2 10. Determine the mean of the sampling distribution of p. HA = 0.2 (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.)
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