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=921 and x=558 who said "yes." Use a 90% confidence level.

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

_____

(Round to three decimal places as needed.)

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

E=____

(Round to three decimal places as needed.)

c) Construct the confidence interval.

____

(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. 90% of sample proportions will fall between the lower bound and the upper bound.

D.One has 90% confidence that the sample proportion is equal to the population proportion