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=1034...



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=1034

and
x=600

who said​ "yes." Use a
95%

confidence level.



​a) Find the best point estimate of the population proportion p.


0.5800.580

​(Round to three decimal places as​ needed.)

​b) Identify the value of the margin of error E.



E=0.0300.030


​(Round to three decimal places as​ needed.)

​c) Construct the confidence interval.



0.5500.550

​(Round to three decimal places as​ needed.)

d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.







A.



There is a

95​%

chance that the true value of the population proportion will fall between the lower bound and the upper bound.






B.



One has

95​%

confidence that the sample proportion is equal to the population proportion.






C.



One has

95​%

confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion






D.




95​%

of sample proportions will fall between the lower bound and the upper bound









Jun 08, 2022
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