Question

The General Social Survey (GSS) is a sociological survey used to collect data on demographic characteristics and attitudes of residents of the United States. In 2010, the survey collected responses from 1,154 US residents. The survey is conducted face-to-face with an in-person interview of a randomly selected sample of adults. One of the questions on the survey is “After an average workday, about how many hours do you have to relax or pursue activities that you enjoy?” A 95% confidence interval from the 2010 GSS survey for the collected answers is 3.53 to 3.83 hours.

Is this true or false and why:

There is a 5% chance that the interval (3.53, 3.83) hours does not contain the mean hours that U.S. adults have for leisure time after an average workday.

Answer 1

This statement is True because 95% confidence interval means that there is 95% chance that the interval will contain the true mean so there is 5% chance that it will not contain the true mean.

The answer is True.