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18. (20 points) Suppose we want to explore if there is significant evidence of difference among Category A, B, and C in the proportion of Level 1 for certain characteristic. A B C Total Level 1 50 90 225 365 Level 2 150 210 275 635 Total 200 300 500 1000 At significant level 0.05, test the equality of proportion of Level 1 for category A, B and C. If needed, perform the Marascuilo procedure for pairwise comparisons. Show your work