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.
