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

In a study of cell phone use and brain hemispheric​ dominance,an Internet survey was​ e-mailed to 2510 subjects randomly selectedfrom an online group involved with ears. 1092 surveys werereturned. Construct a 95​% confidence interval for the proportionof returned surveys.

a) Find the best point estimate of the population proportionp.

___ (Round to three decimal places as​ needed.)

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

___ ​(Round to three decimal places as​ needed.)

​c) Construct the confidence interval.

___ < p < ___​ (Round to three decimal places as​needed.)

​d) Write a statement that correctly interprets the confidenceinterval. Choose the correct answer below.

A. There is a 95​% chance that the true value of the populationproportion will fall between the lower bound and the upperbound.

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

C. One has 95​% confidence that the interval from the lowerbound to the upper bound actually does contain the true value ofthe population proportion.

D. One has 95​% confidence that the sample proportion is equalto the population proportion.