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 equals 1063 and x equals 558 who said​ "yes." Use a 90 % confidence level. ​a) Find the best point estimate of the population proportion p. . 525 ​(Round to three decimal places as​ needed.) ​b) Identify the value of the margin of error E. Eequals nothing ​(Round to three decimal places as​ needed.) ​c) Construct the confidence interval. nothingless than p less than nothing ​(Round to three decimal places as​ needed.) ​d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below. A. 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. 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 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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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 equals 1063 and x equals 558 who said​ "yes." Use a 90 % confidence level. ​a) Find the best point estimate of the population proportion p. . 525 ​(Round to three decimal places as​ needed.) ​b) Identify the value of the margin of error E. Eequals nothing ​(Round to three decimal places as​ needed.) ​c) Construct the confidence interval. nothingless than p less than nothing ​(Round to three decimal places as​ needed.) ​d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below. A. 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. 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 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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