A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n =995 and x = 591 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. ☐

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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 = 995 and x = 591 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<
(Round to three decimal places as needed.)
d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.
A. There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound.
B. 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.
C. One has 90% confidence that the sample proportion is equal to the population proportion.
D. 90% of sample proportions 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 = 995 and x = 591 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< (Round to three decimal places as needed.) d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below. A. There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound. B. 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. C. One has 90% confidence that the sample proportion is equal to the population proportion. D. 90% of sample proportions will fall between the lower bound and the upper bound.
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