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 = 925 and x = 534 who said "yes." Use a 95% 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. ☐

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 = 925 and x = 534 who said "yes." Use a 95% 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<☐
(Round to three decimal places as needed.)
d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.
A. 95% of sample proportions will fall between the lower bound and the upper bound.
B. One has 95% confidence that the sample proportion is equal to the population proportion.
C. One has 95% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.
D. There is a 95% chance that the true value of the population proportion will fall between the lower bound and the upper bound.
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 = 925 and x = 534 who said "yes." Use a 95% 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<☐ (Round to three decimal places as needed.) d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below. A. 95% of sample proportions will fall between the lower bound and the upper bound. B. One has 95% confidence that the sample proportion is equal to the population proportion. C. One has 95% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. D. There is a 95% chance that the true value of the population proportion will fall between the lower bound and the upper bound.
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