Problem 3: Suppose X₁, X₂,..., X, is a sample of size n from a Poisson distribution with parameter x > 0. Suppose we want to test Ho A = Ao against H₁ : λ = X₁. Show that if A₁ > Ao, then the likelihood ratio test rejects Ho when X d. (Note: Just show : the equivalence. You do not need to work out the value of c'.)

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Chapter2: Second-order Linear Odes
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Problem 3: Suppose X₁, X₂,..., X, is a sample of size n from a Poisson distribution
with parameter x > 0. Suppose we want to test Ho A = Ao against H₁ : λ = X₁. Show
that if A₁ > Ao, then the likelihood ratio test rejects Ho when X > c. (Note: Just show
:
the equivalence. You do not need to work out the value of c'.)
Transcribed Image Text:Problem 3: Suppose X₁, X₂,..., X, is a sample of size n from a Poisson distribution with parameter x > 0. Suppose we want to test Ho A = Ao against H₁ : λ = X₁. Show that if A₁ > Ao, then the likelihood ratio test rejects Ho when X > c. (Note: Just show : the equivalence. You do not need to work out the value of c'.)
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