Question

# In a study of cell phone use and brain hemispheric​ dominance, an Internet survey was​ e-mailed...

In a study of cell phone use and brain hemispheric​ dominance, an Internet survey was​ e-mailed to 2353 subjects randomly selected from an online group involved with ears. 965 surveys were returned. Construct a 95​% confidence interval for the proportion of returned surveys.

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

________?

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

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

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 confidence interval. Choose the correct answer below.

A.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.

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

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

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