Question

se 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 907 and x equals 571 who said​ "yes." Use a 99 % confidence level. Find the best point estimate of the population proportion p. Identify the value of the margin of error E. Construct the confidence interval. ) Write a statement that correctly interprets the confidence interval. Choose the correct answer below. A. One has 99​% confidence that the sample proportion is equal to the population proportion. B. 99​% of sample proportions will fall between the lower bound and the upper bound. C. There is a 99​% chance that the true value of the population proportion will fall between the lower bound and the upper bound. D. One has 99​% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.

Answer 1

Sample size = n = 907

x = 571

a) The best point estimate of the population proportion = Sample proportion =

b)

Here E is a margin of error.

Zc = 2.58

( From z table)

c) We have to construct a 99% confidence interval for the population proportion.

Formula is

So confidence interval is ( 0.6295 - 0.0414 , 0.6295 + 0.0414) => ( 0.5882 , 0.6709)

d)

D. One has 99​% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.