(c) What is the probability of obtaining x = 150 or fewer individuals with the characteristic? That is, what is P(ps0.75)? P(ps0.75) =(Round to four decimal places as needed.) %3D

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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just need the last part thank you again to everyone who helps :)

Suppose a simple random sample of size n = 200 is obtained from a population whose size is N = 30,000 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. Not normal becausens0.05N and np(1 - p) < 10.
O B. Approximately normal because ns0.05N and np(1 - p) 2 10.
O C. Approximately 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 = 0.8 (Round to one decimal place as needed.)
Determine the standard deviation of the sampling distribution of p.
GA = 0.028284 (Round to six decimal places as needed.)
(b) What is the probability of obtaining x = 168 or more individuals with the characteristic? That is, what is P(p20.84)?
P(p20.84) = 0.0793 (Round to four decimal places as needed.)
(c) What is the probability of obtaining x = 150 or fewer individuals with the characteristic? That is, what is P(ps0.75)?
P(ps0.75) = (Round to four 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 = 30,000 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. Not normal becausens0.05N and np(1 - p) < 10. O B. Approximately normal because ns0.05N and np(1 - p) 2 10. O C. Approximately 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 = 0.8 (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p. GA = 0.028284 (Round to six decimal places as needed.) (b) What is the probability of obtaining x = 168 or more individuals with the characteristic? That is, what is P(p20.84)? P(p20.84) = 0.0793 (Round to four decimal places as needed.) (c) What is the probability of obtaining x = 150 or fewer individuals with the characteristic? That is, what is P(ps0.75)? P(ps0.75) = (Round to four decimal places as needed.)
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