Question

In: Statistics and Probability

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 pill asked respondents if they felt vulnerable to identity theft. In the poll, n=1056 and x=579 who said "yes". Use a 99% confidence level.

(a) Find the best point estimate of the population p. (round to three decimals)

(b) Identify the value of the margin of error E (round to three decimals)
E=□

(c) Construct the confidence level.(round to three decimals)
□<p<□

(d) Write a statement that correctly interprets the confidence level. Choose the correct answer below
□A. There is a 99% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

□B. 99% of the sample proportion will fall between the lower bound and upper bound

□C. One has a 99% confidence that the invernal from the lower bound to the upper bound actually does contain the true value of the population proportion.

□D. One has 99% confidence that the sample proportion is equal to the population proportion.

Solutions

Expert Solution

a. Point Estimate = 0.548

b. Marign of error = 0.039

c. Confidence interval = ( 0.509 , 0.588 )

d. Option c is correct.

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