Question

Asked Mar 12, 2019

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Show that if Xi ~ B( p) then the likelihood ratio test is based upon the statistics Y =

n

∑ X_{1}

_{i=1}

Step 1

**Likelihood ratio test:**

The hypothesis for likelihood ratio test is H_{0: }Ѳ belongs to Ѳ_{0 }and H_{1: }Ѳ belongs to Ѳ_{1}. It is test with critical region is C = (x: λ(x) ≤ k), where *k* take any value between 0 and 1. The likelihood ratio is given by:

Step 2

Value of k is determined using the CDF of λ(x).

Step 3

For a random variable follows a Bernoulli distribution with parameter *p*. ...

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