You are analyzing GSS data, and you are interested in whether or not respondents

Question

You are analyzing GSS data, and you are interested in whether or not respondents who have legally adopted a child have a different number of days of poor mental health as compared to respondents who have not legally adopted a child. 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: Have ever legally adopted a child Questions associated with this variable: Have you ever legally adopted a child? Code Label 1 Yes 2 No 8 Don't know 9 No answer 0 Not applicable

Select the appropriate procedure.

chi-square test of independence

chi-square goodness of fit test

t-test, related groups

F test

correlation

t-test, independent groups

Explanation / Answer

From the given data, we can find the following summary:

Our task is to determine whether Numeric 1 is different from Numeric 2.

Chi-square test of independence will not work here because we are dealing with numeric data and not frequencies. The goodness of fit test is out of the question. The two groups (A/B) aren't related groups or paired samples so t-test, related groups will also not be applicable. F test is done for testing equality of variances, which is not the requirement here. For correlation, we need two sets of numeric data which we don't have here because the number of days a person have a mental illness is the only numeric data here.

t-test, independent groups seems to be the most appropriate test here because we are checking the equality of the average number of days of poor mental health between two independent groups (A/ B) here. The null hypothesis will be Numeric 1 = Numeric 2 and the alternate hypothesis will be Numeric 1 is not equal to Numeric 2.

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