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= 978 and x = 584 who said "yes." Use a 99% confidence level. 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 = 978 and x = 584 who said "yes." Use a 99% confidence level.
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.
O<p<O
(Round to three decimal places as needed.)
d) Write a statement
correctly interprets the confidence interval. Choose the correct answer belov
A. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.
O B. One has 99% confidence that the sample proportion is equal to the population proportion.
C. 99% of sample proportions will fall between the lower bound and the upper bound.
D. There is a 99% 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 = 978 and x = 584 who said "yes." Use a 99% confidence level. 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. O<p<O (Round to three decimal places as needed.) d) Write a statement correctly interprets the confidence interval. Choose the correct answer belov A. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. O B. One has 99% confidence that the sample proportion is equal to the population proportion. C. 99% of sample proportions will fall between the lower bound and the upper bound. D. There is a 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound.
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