A 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 2498

2498 subjects randomly selected from an online group involved with ears. 1118

1118 surveys were returned. Construct a 95

95% confidence interval for the proportion of returned surveys.

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Click the icon to view a table of z scores.

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

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(Round to three decimal places asneeded.)

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

Eequals

=

nothing

(Round to three decimal places asneeded.)

c) Construct the confidence interval.

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less than p less than

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(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 95

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

B.

95

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

C.

One has 95

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

D.

One has 95

95% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.