Question

# Use the sample data and confidence level given below to complete parts​ (a) through​ (d). A...

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 =1091 and x equals =501 who said​ "yes".  Use a

95 % confidence level.

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

Population proportion = ?

(Round to three decimal places as​ needed.)

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

E= ?

(Round to four decimal places as​ needed.)

​c) Construct the confidence interval.

? < p < ?

(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 95​% confidence that the sample proportion is equal to the population proportion.

B.95​% of sample proportions will fall between the lower bound and the upper bound.

C.There is a 95​% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

D.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.

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