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

∑ X1

i=1

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Expert Answer

Step 1

Likelihood ratio test:

The hypothesis for likelihood ratio test is H0: Ѳ belongs to Ѳ0 and H1: Ѳ belongs to Ѳ1. 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:

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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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