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In: Statistics and Probability

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 1063 and x equals 566 who said​ "yes." Use a 95 % confidence level. LOADING... Click the icon to view a table of z scores. ​

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. 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 95​% confidence that the sample proportion is equal to the population proportion. B. There is a 95​% chance that the true value of the population proportion will fall between the lower bound and the upper bound. 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. 95​% of sample proportions will fall between the lower bound and the upper bound.

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