Use the sample data and confidence level given below to complete parts (a) through (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=970 and x=598 who said "yes." Use a 99% confidence level.
a) Find the best point estimate of the population proportion p.
b) Identify the value of the margin of error E.
c) Construct the confidence interval.
d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below. A. 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. B.99% of sample proportions will fall between the lower bound and the upper bound. C. There is a 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound. D. One has 99% confidence that the sample proportion is equal to the population proportion.