1. A political scientist hypothesized that persons from the US Midwest are more politically conservative than those from either coast. A total of 15 participants were randomly selected to participate in a study testing this hypothesis- 5 from the east, 5 from the west, and 5 from the Midwest. Participants completed a questionnaire measuring conservatism with higher scores indicating more conservative beliefs. The data is presented below:

West	Midwest	East
3	9	4
6	15	9
2	9	1
4	4	2
3	6	3
n = 5	n = 5	n = 5
X = 18	X = 43	X = 19
(X2) = 74	(X2) = 439	(X2) = 111

1. Based on what you know about stats so far, why is it appropriate to analyze this data using a one-way ANOVA instead of an independent samples t-test?
2. Why is not appropriate to analyze this data using a two-way ANOVA?
3. Conduct the one-way ANOVA to test the hypothesis that those from the Midwest have higher conservatism scores than the other groups. Construct an ANOVA summary table with your calculations. Use an alpha level of .05, and be sure to state what the critical f value is that you need to make your decision about significance and what the statistical decision is.
4. Based on these results you calculated- should you conduct post hoc analyses or not? (*you don't have to calculate the post hoc analyses, just say whether you should or not) Explain your answer.
5. Calculate and interpret the effect size.
6. Based on the results you calculated (both the F test and the effect size calculations)- can you say that people from the Midwest are more conservative than those from either coast. Explain your answer.

Answer rating: 100% (QA)

It is appropriate to analyze this data using a oneway ANOVA instead of an independent samples ttest ... View the full answer