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# Use the sample data and confidence level given below to complete parts​ (a) through​ (d). A...

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 1072 and x equals 527 who said​ "yes." Use a 95 % confidence level.

​a) Find the best point estimate of the population proportion p. nothing ​(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. nothing less than p less thannothing ​(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 95 ​% confidence that the sample proportion is equal to the population proportion.

B. 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.

C. There is a 95 ​% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

D. 95 ​% of sample proportions will fall between the lower bound and the upper bound.

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