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 1133948: 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 1011 and x equals 582 who said​ "yes." Use a 90 % 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.
​(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.
99​% of sample proportions will fall between the lower bound and the upper bound.
Answer by Glaviolette(140) About Me  (Show Source):
You can put this solution on YOUR website!
For part A, the point estimate is the observed or sample proportion.
For part B, the margin of error is calculated using the z-score that corresponds to a 90% confidence level which is estimated to be 1.645. This is multiplied by the sq rt of p-hat, q-hat (observed failures proportion) divided by n
For part C, the margin of error is subtracted from and added to the observed proportion.
For part D, C is the correct interpretation.