Suppose a simple random sample of size n= 150 is obtained from a population whose size is N= 25,000 and whose population proportion with a specified characteristic is p= 0.6. Complete parts (a) through (c) belov .... (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)< 10. O B. Not normal because ns0.05N and np(1- p)2 10. OC. Approximately normal because ns0.05N and np(1-p) 2 10. O D. Approximately 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. On = (Round to six decimal places as needed.) (b) What is the probability of obtaining x= 93 or more individuals with the characteristic? That is, what is P(p20.62)? P(p20.62) =(Round to four decimal places as needed.) (c) What is the probability of obtaining x= 81 or fewer individuals with the characteristic? That is, what is P(ps0.54)? Pôs0.54) = | (Round to four decimal places as needed.)
Suppose a simple random sample of size n= 150 is obtained from a population whose size is N= 25,000 and whose population proportion with a specified characteristic is p= 0.6. Complete parts (a) through (c) belov .... (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)< 10. O B. Not normal because ns0.05N and np(1- p)2 10. OC. Approximately normal because ns0.05N and np(1-p) 2 10. O D. Approximately 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. On = (Round to six decimal places as needed.) (b) What is the probability of obtaining x= 93 or more individuals with the characteristic? That is, what is P(p20.62)? P(p20.62) =(Round to four decimal places as needed.) (c) What is the probability of obtaining x= 81 or fewer individuals with the characteristic? That is, what is P(ps0.54)? Pôs0.54) = | (Round to four decimal places as needed.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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