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 2601 subjects randomly selected from an online group involved with ears. 1163 surveys were returned. Construct a 95% confidence interval for the proportion of returned surveys.

Click the icon to view a table of z scores.

Find the best point estimate of the population proportion p.

. 447

.447

(Round to three decimal places asneeded.)

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

E=

nothing

(Round to three decimal places asneeded.)

c) Construct the confidence interval.

nothing

nothing

(Round to three decimal places asneeded.)

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

A.

95% of sample proportions will fall between the lower bound and the upper bound.

B.

One has 95% confidence that the sample proportion is equal to the population proportion.

C.

There is a 95% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

D.

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.