Question

1a.) You want to know if an exercise intervention and a positive psychology intervention can work together to increase happiness (measured on a scale from 1-20). You assign participants to either the exercise or no exercise group, and to either the psychology intervention or no psychology intervention group. What kind of statistical test does this call for?

1. Chi-square for independence
2. Dependent Samples t-test
3. Correlation
4. ANOVA
5. Independent Samples t-test
6. Chi-square for goodness of fit
7. Single Mean

1b.) Imagine you have conducted the appropriate test for the above design, with α = .05 and p = .16. What would you conclude?

1. Happiness and the positive psychology intervention are related.
2. Exercise and positive psychology are related.
3. No significant differences in happiness were found.
4. Happiness and exercise are related.
5. There was at least one significant difference in happiness.

Answer 1

1) a) This would be answered by an ANOVA test. We have four groups Exercise, No Exercise, Psychology intervention and No psychology intervention. We checks whether the mean happiness of the four groups differs from each other or not.

Our hypothesis would be as follows:

H0: u1=u2=u3=u4

vs H1: u1 not equal u2 not equal u3 not equal u4

b) Since the p-value > significance level of the test, we fail to Reject H0 and conclude that there is no significant difference in the means.

So option c is correct.