For the FL Student Survey data file on the text CD, we use as the response variable sports (the number of weekly hours engaged in sports and other physical exercise). For the explanatory variables, we use gender and whether the student is a vegetarian. The output shows results of a two-way ANOVA.
a. State the hypotheses for the vegetarian main effect.
b. Show how the F test statistic for part a was obtained from mean squares reported in the ANOVA table.
c. Report and interpret the P-value of the test for the vegetarian main effect.

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Source vegetarian 1 7.89 7.89 0.56 0.457 gender Error Total DF Ss MS F 1 64.35 64.35 4.59 0.037 57 799.80 14.03 59 878.98