Question

9.41 question attached

Step 1

__Solution__

**Given:** Let *Xi* follows bin(

__Solution__

**Given:** Let *Xi* follows bin(*ni*, *pi*), for *i* = 1, 2, …., *m*, be independent.

We have to derive a likelihood ratio test for the hypothesis *H*_{0}: *p*_{1} = *p*_{2} = … = *p _{m}* against the alternative hypothesis that the

*ni*, *pi*), for *i* = 1, 2, …., *m*, be independent.

We have to derive a likelihood ratio test for the hypothesis *H*_{0}: *p*_{1} = *p*_{2} = … = *p _{m}* against the alternative hypothesis that the

Step 2

**Step 1:**

Since the hypotheses are composite, we have to use the generalized likelihood ratio test

Step 3

The null hypothesis may specify that *p* ϵ *ω*0, where *ω*0 is a subset of the set of all possible values of *p*, and *H*1 may specify that *p* ϵ *ω*1, *ω*1 is disjoint from *&omega...*

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