We believe there will be significant differences between age groups and the importance of ethnic food choices available. Using the One-Way ANOVA results, answer the following questions: a) (3 points) Test for overall differences between age groups. Report the conclusion in a succinct sentence or two, including the value of your test statistic and the p-value. b) (2 points) Report whether the group sizes among the each age group are about the same. Also report if variances are equal. Given this, what post-hoc test should you run? c) (2 points) Run a post-hoc analysis using the post-hoc test from part (b). Report which age groups are significantly different from each other along with the mean difference for each significant difference. Descriptives q05h Importance - Ethnic food choices available N Mean Std. Dev. 95% CI for Mean Lower Bound Upper Bound Under 21 247 2.23 1.086 2.10 2.37 21 to 22 252 2.35 1.121 2.21 2.49 23 or over 350 2.49 1.246 2.36 2.62 Total 849 2.37 1.168 2.30 2.45 Tests of Homogeneity of Variances q05h Importance - Ethnic food choices available Levene Statistic df1 df2 Sig. 5.444 2 846 .004 ANOVA q05h Importance - Ethnic food choices available Sum of Squares df Mean Square F Sig. Between Groups 9.766 2 4.883 3.601 .028 Within Groups 1147.125 846 1.356 Total 1156.890 848 Multiple Comparisons Dependent Variable: q05h Importance - Ethnic food choices available (I) q11 Current age (J) q11 Current age Tukey HSD Games-Howell Mean Diff. (I-J) Sig. Mean Diff. (I-J) Sig. Under 21 21 to 22 -.114 .516 -.114 .479 23 or over -.257 .022 -.257 .021 21 to 22 Under 21 .114 .516 .114 .479 23 or over -.142 .302 -.142 .308 23 or over Under 21 .257 .022 .257 .021 21 to 22 .142 .302 .142 .308