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 1001 and x equals 557 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.

E= ___ (Round to three 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. There is a 90​% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

B. 90​% of sample proportions will fall between the lower bound and the upper bound.

C. One has 90​% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.

D. One has 90​% confidence that the sample proportion is equal to the population proportion.

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