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.
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