Question
ANOVA data interpretation from SPSS: FOX news watching & politics: A researcher wants to know whether there are significant differences between a person's political affiliations
ANOVA data interpretation from SPSS: FOX news watching & politics:
A researcher wants to know whether there are significant differences between a person's political affiliations and how many times a month they watch the FOX news network. Look at the following one-way ANOVA data tables and answer the following questions:
ANOVA | |||||
DVAR: Fox News Viewing | |||||
Sum of Squares | df | Mean Square | F | Sig. | |
Between Groups | 25486.191 | 2 | 12743.096 | 161.14 | .002 |
Within Groups | 49106.807 | 621 | 79.077 | ||
Total | 74592.998 | 623 |
Descriptives | |||||||
DVAR: Fox News Viewing | |||||||
N | Mean | Std. Deviation | Std. Error | 95% Confidence Interval for Mean | |||
Lower Bound | Upper Bound | ||||||
Liberal | 321 | 2.40 | 6.170 | .344 | 1.72 | 3.07 | |
Moderate | 163 | 7.42 | 10.280 | .805 | 5.83 | 9.01 | |
Conservative | 140 | 18.56 | 11.936 | 1.009 | 16.57 | 20.56 | |
Total | 624 | 7.33 | 10.942 | .438 | 6.47 | 8.20 |
1) Please state the Research (H1) and Null (H0) Hypotheses in this problem (2 Points)
H1:
H0:
2) What is the value of the F Test Statistic above? (1 Point) - See the ANOVA table above
3) If the Critical Value is 5.98, can we reject the null with at least 95% confidence, based on the F Test Statistic? If so, what does this tell us about these three groups? (3 Points)
For the remainder of the questions, use the data in the "Descriptives" table to justify your answers.
4) If you were to combine all three groups together, what would be the mean number of how many times people in this sample watched Fox news in a month? (1 Point) What would be the value of the confidence interval if all groups were combined together? (2 Points)
5) Should the entire sample be combined into one group, or would doing that cause us to miss that some of these groups are uniquely different from one another? Explain why you feel that way (3 Points)
6) Looking at this data, which group looks like it scores significantly higher than all of the others, and what is their average amount of Fox News viewing a month? (2 Points) What is the confidence interval value for that group mean? (2 Points)
7) According to the data, which group scores the lowest, and what is their average amount of Fox News viewing? (2 Points) What is the confidence interval value for that group mean? (2 Points)
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