Question: Please make sure that the handwriting is readable. Show all necessary steps and reasons. Define all symbols or terms carefully. 2. Let X1 X2 ..*n

Please make sure that the handwriting is readable. Show all necessary steps and reasons. Define all symbols or terms carefully.

Please make sure that the handwriting is readable. Show all necessary steps

2. Let X1 X2 ..*n be a random sample from the Poisson distribution with parameter 8. Consider the hypothesis: Ho:0 = 0, vs Ha:0 # 00 a. Construct a size-a test using the generalized likelihood ratio principle. (Hint: Steps for answering: (a) Construct 1 first. Simplify the ratio. Note that X is the MLE for 8. Also sup L(8 (x) is just equal to L(8(x). (b) Set up the test $ (x) (c) Set up a rule in finding k. No need to find k itself

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