Let X 1 ,X 2 , ,X n be a random sample from a Poisson distribution with mean 0 Test H 0 2 against H 1 2 using (a) 2 log (b) A Wald type statistic (c) Raos score statistic

Question: Let X 1 ,X 2 , . . .,X n be a random sample from a Poisson distribution with mean > 0. Test H

Let X₁,X₂, . . .,X_n be a random sample from a Poisson distribution with mean θ > 0. Test H₀ : θ = 2 against H₁ : θ ≠ 2 using
(a) −2 logΛ.
(b) A Wald-type statistic.
(c) Rao’s score statistic.

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