Use the sample data and confidence level given below to complete questions 2-5.

Question

Use the sample data and confidence level given below to complete questions 2-5. A research institute poll asked respondents ifthey felt vulnerable to identity theft. In the poll, n=1075 and x-501 who said "yes." Use a 90% confidence level. Write a statement that correctly interprets the confidence interval. Choose the correct answer below. 1) 90% of sample proportions will fall between the lower bound and upper bound. 2) 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. 3) One has 90% confidence that the sample proportion is equal to the population proportion. 4) There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

Explanation / Answer

The correct interpretation for the confidence interval is that there is a 90% probability of a 90% confidence that the true population proportion lies in the given interval. Therefore 4) is the correct answer here.

Note that confidence interval is always for population parameter not the sample statistic.

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