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 is p 0.6. 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 because ns0.05N and np(1-p)2 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. G. (Round to six decimal places as needed.) (b) What is the probability of obtaining x 122 or more individuals with the characteristic? That is, what is P(p2 0.61)? P(p20.61) = (Round to four decimal places as needed.) (c) What is the probability of obtaining x114 or fewer individuals with the characteristic? That is, what is P(ps0.57)? P(ps0.57) (Round to four decimal places as needed.)
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 is p 0.6. 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 because ns0.05N and np(1-p)2 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. G. (Round to six decimal places as needed.) (b) What is the probability of obtaining x 122 or more individuals with the characteristic? That is, what is P(p2 0.61)? P(p20.61) = (Round to four decimal places as needed.) (c) What is the probability of obtaining x114 or fewer individuals with the characteristic? That is, what is P(ps0.57)? P(ps0.57) (Round to four decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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=0.6. 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 because n s0.05N and np(1-p)2 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.
G. = (Round to six decimal places as needed.)
(b) What is the probability of obtaining x= 122 or more individuals with the characteristic? That is, what is P(p2 0,61)?
P(p20.61) = (Round to four decimal places as needed.)
(c) What is the probability of obtaining x=114 or fewer individuals with the characteristic? That is, what is P(ps0.57)?
P(ps0.57) = (Round to four decimal places as needed.)
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