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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 thepoll, n=965 and x=541 who said"yes." Use a 99% confidence level.

a) Find the best point estimate of the population proportion p.

(Round to three decimal places asneeded.)

b) Identify the value of the margin of error E.

E=

(Round to three decimal places asneeded.)

c) Construct the confidence interval.

(Round to three decimal places asneeded.)

d) a statement that correctly interprets the confidence interval. Choose the correct answer below.

A.

One has 99% confidence that the sample proportion is equal to the population proportion.

B.

99% of sample proportions will fall between the lower bound and the upper bound.

C.

There is a 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

D.

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.