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=1005 and x=534 who said​ "yes." Use a 99% confidence level.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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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=1005
and
x=534
who said​ "yes." Use a
99%
confidence level.
 
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Part 1
​a) Find the best point estimate of the population proportion p.
 
enter your response here
​(Round to three decimal places as​ needed.)
Part 2
​b) Identify the value of the margin of error E.
 
E=enter your response here
​(Round to three decimal places as​ needed.)
Part 3
​c) Construct the confidence interval.
 
enter your response here<p<enter your response here
​(Round to three decimal places as​ needed.)
Part 4
​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.
 
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