Use the sample data and confidence level given below to complete (a) through (d).
A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=1059 and x=562 who said "yes." Use a 99% confidence level.
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 (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 correct answer below:
A. One has 99% confidence that the sample proportion is equal to the population proportion.
B. One has 99% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.
C. 99% of sample proportions will fall between the lower and upper bound.
D. There is a 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound.
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