Question

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.

Answer 1

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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