Question

You are analyzing GSS data, and you are interested in whether or not respondents with diabetes have a different number of days of poor mental health than respondents who do not have diabetes. Information about the variables: Name: Days of poor mental health past 30 days Questions associated with this variable: B. Now thinking about your mental health, which includes stress, depression, and problems with emotions, for how many days during the past 30 days was your mental health not good? Responses: 0-30 days Name: Told have diabetes Now I would like to ask you some questions about general health conditions. Has a doctor, nurse, or other health professional EVER told you that you had: C. Diabetes or high blood pressure? Code Label 1 Yes 2 No 9 No answer 0 Not applicable Select the appropriate procedure. correlation t-test, independent groups t-test, related groups chi-square test of independence F test

Answer 1

As we have to determine whether respondents with diabetes have a different number of days of poor mental health than respondents who do not have diabetes, we will approach the problem in the following way:

We have two different groups of people:

1. People who have diabetes

2. People who do not have diabetes

For both the groups, we want to determine the average number of days with poor mental health.

In this case, independent groups t-test will be used. Both groups are independent and we want to check whether the mean for both groups is different or not. The hypothesis will be the following:

H₀: u₁ = u₂

H_A: u₁ ? u₂