Question

1. What statistical test is most appropriate if you want to examine whether there is a difference in graduation rates (percentages) between home schooling, public schools, and private schools in your state of residence? Assume the data meets the assumptions for a parametric test. (2 pts)

2. What statistical test would be most appropriate if you measured religiosity (using an interval scale) every 5 years for a total of 20 years in the same participants (so, four data points per person), but the data did not meet the assumptions for a parametric test?

Answer 1

SOLUTION 1:The most appropriate test if you want to examine whether there is a difference in graduation rates (percentages) between home schooling, public schools, and private schools in your state of residence is independent t test for two groups if population variances are UNKNOWN. If population variances are KNOWN then we will use Independent two samples Z test.

SOLUTION 2: The scenario is One way repeated measures. But the data did not meet the assumptions for a parametric test so in this case we will use The Friedman test which is the non-parametric version of the one-way ANOVA with repeated measures.

Participants	FIRST 5 YEARS	SECOND 5 YEARS	THIRD 5 YEARS	FOURTH 5 YEARS
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