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

In a study of cell phone use and brain hemisphericdominance, an Internet survey wase-mailed to 2574 subjects randomly selected from an online group involved with ears. 1006 surveys were returned. Construct a 99% confidence interval for the proportion of returned surveys.

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

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

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

C.99% of sample proportions 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.