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 1066n=1066

and

x equals 536x=536

who said "yes." Use a

95 %95%

confidence level.

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Part 1

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

enter your response here

(Round to three decimal places as needed.)

Part 2

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

Eequals=enter your response here

(Round to three decimal places as needed.)

Part 3

c) Construct the confidence interval.

enter your response hereless than p less than

(Round to three decimal places as needed.)

Part 4

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

A.

One has

9595%

confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.

B.

One has

9595%

confidence that the sample proportion is equal to the population proportion.

C.

9595%

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

D.

There is a

9595%

chance that the true value of the population proportion will fall between the lower bound and the upper bound.