Question

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=991

and

x=592

who said​ "yes." Use a

95%

confidence level.

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

nothing

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

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

E=nothing

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

​c) Construct the confidence interval.

nothing<p<nothing

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

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

A.

95​%

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

B.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.

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 sample proportion is equal to the population proportion.

Answer 1

The statistical software output for this problem is :

(a)

best point estimate = 0597

(b)

E = 0.030

(c)

0.567 < p < 0.628

(d)

B.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.