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=981 and x=533 who said “yes.” Use a 99% confidence level.LOADING… Click the icon to view a table of z scores.
a) Find the best point estimate of the population proportion p.0.543(Round to three decimal places as needed.)
b) Identify the value of the margin of error E.E=0.041(Round to three decimal places as needed.)
c) Construct the confidence interval.0.502<p<0.584(Round to three decimal places as needed.)
d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.
A.99% of sample proportions will fall between the lower bound and the upper bound.
B.There is a 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound.
C.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.Your answer is correct.
D.One has 99% confidence that the sample proportion is equal to the population proportion.
correct answer C