Suppose (X1, X2, X3) trinomial(n, (p1, p2, p3)) where n, the number of trials, is fixed and
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Question:
Suppose (X1, X2, X3) trinomial(n, (p1, p2, p3)) where n, the number of trials, is fixed and p1 + p2 + p3 = 1.
Suppose we are interested in testingH0:p1=p2 versus H1:p1=p2. Derive the likelihood ratio test and state the asymptotic distribution of your test statistic under H0. Hint: What is the dimension of the parameter space under H0?
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