Suppose that a random sample of 85 high school classrooms in the state of Iowa is selected and a 95% confidence interval for the proportion that has Internet access is (0.73, 0.79). Which of the following is a correct interpretation of the 95% confidence level?
A)The method used to construct the interval will produce an interval that includes the value of the population proportion about 95% of the time in repeated sampling.
B)You can be 95% confident that the sample proportion is between 0.73 and 0.79.
C)There is a 95% chance that the proportion of all high school classrooms in Iowa that have Internet access is between 0.73 and 0.79.
D)You can be 95% confident that the proportion of all high school classrooms in Iowa that have Internet access is between 0.73 and 0.79.
E)None of the above is a correct interpretation of the confidence level.

Question

Suppose that a random sample of 85 high school classrooms in the state of Iowa is selected and a 95% confidence interval for the proportion that has Internet access is (0.73, 0.79). Which of the following is a correct interpretation of the 95% confidence level? ​
A)The method used to construct the interval will produce an interval that includes the value of the population proportion about 95% of the time in repeated sampling.
B)You can be 95% confident that the sample proportion is between 0.73 and 0.79.
C)There is a 95% chance that the proportion of all high school classrooms in Iowa that have Internet access is between 0.73 and 0.79.
D)You can be 95% confident that the proportion of all high school classrooms in Iowa that have Internet access is between 0.73 and 0.79.
E)None of the above is a correct interpretation of the confidence level.

Quizplus · Accepted Answer

The correct interpretation of a 95% confidence level is that if we were to take many samples and construct a confidence interval for each, about 95% of these intervals would contain the true population proportion.

Suppose That a Random Sample of 85 High School Classrooms