O Suppose the following table gives the distribution of geometry grades in 2 high schools. A В C D F Total High school 1 27 39 60 42 32 200 High school 2 28 51 120 68 33 300 Total 55 90 180 110 65 500 Let H be the hypothesis that the grade distributions are homogeneous in the 2 high schools. (a) Find the value. (b) Find the degrees of freedom (df). (c) Test Ho at the following significance levels: (i) α-0.10. (ii) α=0.05.

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