Suppose (X1, X2, X3) trinomial(n, (p1, p2, p3)) where n, the number of trials, is fixed and p1 p2 p3 1 Show that (X1 X2) 2 (X1 X2) has an asymptotic 1 2 distribution under H0 p1 p2, as n

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Suppose (X1, X2, X3) trinomial(n, (p1, p2, p3)) where n, the number of trials, is fixed and p1 + p2 + p3 = 1. Show

Suppose (X1, X2, X3) trinomial(n, (p1, p2, p3)) where n, the number of trials, is fixed and p1 + p2 + p3 = 1.

Show that (X1 X2)²/(X1 + X2) has an asymptotic12 distribution under H0 :p1 = p2, as n .

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