Question

1a.) You want to know if there are generational differences in concern regarding environmental sustainability. You administer a survey (0-50 scale) to 100 traditional college age students (aged 18-23) and their parents, and compare average levels of concern between the two groups (children vs. parents). What kind of statistical test does this call for?

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

1b.) Imagine you have conducted the appropriate test for the above design, with α = .05 and p = .41. What would you conclude?

1. Children and parents are not significantly different in levels of concern.
2. Children and parents are significantly different in levels of concern.
3. Older parents expressed significantly less concern than younger parents.
4. Older parents expressed significantly greater concern than younger parents.

Answer 1

Part a

Dependent Samples t-test

Explanation:

For the given samples, there is a one-to-one relationship exists between the observations of the both samples for students and their parents. It is observed that both samples are dependent samples. It is observed that the data is a paired data. The both samples are related by a relationship as student and their parents. So, in this case, we need to use the paired-samples t-test or dependent samples t-test.

Part b

a. Children and parents are not significantly different in levels of concern.

For the given test, we have p-value = 0.41 which is greater than α = 0.05, so we do not reject the null hypothesis. This means we conclude that Children and parents are not significantly different in levels of concern.