Question: Let Xi bin(ni , pi ), for i = 1, . . . , m, be independent. Derive a likelihood ratio test for the hypothesis

Let Xi bin(ni , pi ), for i = 1, . . . , m, be independent. Derive a likelihood ratio test for the hypothesis H0: p1 = p2 == pm against the alternative hypothesis that the pi are not all equal. What is the large- sample distribution of the test statistic

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