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Analysis of Liberals & Conservatives with Hypothesis Test

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From the 2008 GSS-the average educational attainment for liberals is 13.90 year Sy=3.27) and the average educational attainment for conservatives is 13.55 years (Sy=2.82). Data are base on 187 liberals and 227 conservatives responses.
a. Test research hypotheses that there is a difference in level of education between liberals and conservatives, set alpha at .01.
b. Would your decision have been different if alpha were set at .05?

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This solution includes a 5-step hypothesis test to test the difference in level of education between liberals and conservatives.

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Problem: From the 2008 GSS-the average educational attainment for liberals is 13.90 year Sy=3.27) and the average educational attainment for conservatives is 13.55 years (Sy=2.82). Data are base on 187 liberals and 227 conservative's responses.
a) Test research hypotheses that there is a difference in level of education between liberals and conservatives, set alpha at .01.
b) Would your decision have been different if alpha were set at .05?
Solution-(a):
Null Hypothesis: The mean level of ...

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