SOLUTION: 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

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Question 1133947: 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 equals 1080 and x equals 574 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.
0.531
​(Round to three decimal places as​ needed.)
​b) Identify the value of the margin of error E.
Eequals
0.039
​(Round to three decimal places as​ needed.)
​c) Construct the confidence interval.
0.492less than p less than
0.57
​(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 99​% confidence that the sample proportion is equal to the population proportion.
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.
99​% of sample proportions will fall between the lower bound and the upper bound.
Question is complete. Tap on the red indicators to see incorrect answers.
Answer by Glaviolette(140) About Me  (Show Source):
You can put this solution on YOUR website!
It looks like this problem is solved. The only thing I am not sure of is what was selected for part D. The correct answer is C. We are always interpreting a confidence interval as being p% sure that actual/population proportion is between the two interval values.