Use the sample data and confidence level given below to complete parts (a) through (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n= 1056 and x= 592 who said "yes." Use a 90% confidence level. E Click the icon to view a table of z scores. a) Find the best point estimate of the population proportion p. (Round to three decimal places as needed.) b) Identify the value of the margin of error E. E=D (Round to three decimal places as needed.) c) Construct the confidence interval. (Round to three decimal places as needed.) d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below. O A. 90% of sample proportions will fall between the lower bound and the upper bound. O B. There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound. Oc. One has 90% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. O D. One has 90% confidence that the sample proportion is equal to the population proportion.
Use the sample data and confidence level given below to complete parts (a) through (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n= 1056 and x= 592 who said "yes." Use a 90% confidence level. E Click the icon to view a table of z scores. a) Find the best point estimate of the population proportion p. (Round to three decimal places as needed.) b) Identify the value of the margin of error E. E=D (Round to three decimal places as needed.) c) Construct the confidence interval. (Round to three decimal places as needed.) d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below. O A. 90% of sample proportions will fall between the lower bound and the upper bound. O B. There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound. Oc. One has 90% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. O D. One has 90% confidence that the sample proportion is equal to the population proportion.
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 26PFA
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![Use the sample data and confidence level given below to complete parts (a) through (d).
A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n= 1056 and x= 592 who said "yes." Use a 90% confidence level.
Click the icon to view a table of z scores.
a) Find the best point estimate of the population proportion p.
(Round to three decimal places as needed.)
b) Identify the value of the margin of error E.
E =
(Round to three decimal places as needed.)
c) Construct the confidence interval.
]<p<]
|<p<
(Round to three decimal places as needed.)
d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.
A. 90% of sample proportions will fall between the lower bound and the upper bound.
B. There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound.
C. One has 90% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.
D. One has 90% confidence that the sample proportion is equal to the population proportion.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdefc804c-53f2-49b0-b7e4-9eab95bcd317%2F9ae46452-1585-40cd-9300-76d071406918%2F7bv4tpg_processed.png&w=3840&q=75)
Transcribed Image Text:Use the sample data and confidence level given below to complete parts (a) through (d).
A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n= 1056 and x= 592 who said "yes." Use a 90% confidence level.
Click the icon to view a table of z scores.
a) Find the best point estimate of the population proportion p.
(Round to three decimal places as needed.)
b) Identify the value of the margin of error E.
E =
(Round to three decimal places as needed.)
c) Construct the confidence interval.
]<p<]
|<p<
(Round to three decimal places as needed.)
d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.
A. 90% of sample proportions will fall between the lower bound and the upper bound.
B. There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound.
C. One has 90% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.
D. One has 90% confidence that the sample proportion is equal to the population proportion.
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