The first table shown summarizes responses on political ideology (where 1 = extremely liberal and 7 =

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The first table shown summarizes responses on political ideology (where 1 = extremely liberal and 7 = extremely conservative) from the 2014 GSS by gender and race.
a. From these sample means, is there evidence of a significant interaction? Explain what this means in the context of this example.
b. From the ANOVA table shown, write a conclusion for testing the null hypothesis of no interaction.

Sample means for political ideology by sex and race Black White Female Male 3.82 4.13 4.22 3.81

ANOVA for political ideology by sex and raceSource DF MS F 1.4 Sex 3.0 3.0 0.229 Race 36.5 36.5 17.8 0.000 Interaction 0.8 0.8 0.4 0.539 Error 2202 4521.4 2.1 Total

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Statistics The Art And Science Of Learning From Data

ISBN: 9780321997838

4th Edition

Authors: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg

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