Based on responses from 1,151 US residents, the survey reported a 95% confidence interval of 3.40 to 4.24 days in 2010. Given this information, which of the following statements would be most appropriate to make regarding the true average number of days of "not good" mental health in 2010 for US residents? There is not sufficient information to calculate the margin of error of this confidence interval. For these 1,151 residents in 2010, we are 95% confident that the average number of days of "not good" mental health is between 3.40 and 4.24 days. For all US residents in 2010, based on this 95% confidence interval, we would reject a null hypothesis stating that the true average number of days of "not good" mental health is 5 days. O For all US residents in 2010, there is a 95% probability that the true average number of days of "not good" mental health is between 3.40 and 4.24 days.
Based on responses from 1,151 US residents, the survey reported a 95% confidence interval of 3.40 to 4.24 days in 2010. Given this information, which of the following statements would be most appropriate to make regarding the true average number of days of "not good" mental health in 2010 for US residents? There is not sufficient information to calculate the margin of error of this confidence interval. For these 1,151 residents in 2010, we are 95% confident that the average number of days of "not good" mental health is between 3.40 and 4.24 days. For all US residents in 2010, based on this 95% confidence interval, we would reject a null hypothesis stating that the true average number of days of "not good" mental health is 5 days. O For all US residents in 2010, there is a 95% probability that the true average number of days of "not good" mental health is between 3.40 and 4.24 days.
Transcribed Image Text:5. 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 over a thousand 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 "For how many days during the past 30 days was your mental health,
which includes stress, depression, and problems with emotions, not good?"
Based on responses from 1,151 US residents, the survey reported a 95% confidence interval of 3.40 to 4.24 days in
2010. Given this information, which of the following statements would be most appropriate to make regarding the
true average number of days of "not good" mental health in 2010 for US residents?
There is not sufficient information to calculate the margin of error of this confidence interval.
For these 1,151 residents in 2010, we are 95% confident that the average number of days of "not good"
mental health is between 3.40 and 4.24 days.
For all US residents in 2010, based on this 95% confidence interval, we would reject a null hypothesis stating
that the true average number of days of "not good" mental health is 5 days.
For all US residents in 2010, there is a 95% probability that the true average number of days of "not good"
mental health is between 3.40 and 4.24 days.
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