13) Likelihood ratio test: You have a sample from a gamma distribution. You know that B = 5 and that n> 100. You would like to do the following test: Ho: a = 2 H: a+2.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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13) Likelihood ratio test: You have a sample from a gamma distribution. You know that B = 5
and that n> 100. You would like to do the following test:
Ho: a = 2
Hạ: a+ 2.
You calculated the maximum value of the likelihood function under the null hypothesis and find
it is equal to 24. Also you find the maximum likelihood estimator of a and find that at this point
the value of the likelihood function is 196. Test the hypothesis. Show your work.
Transcribed Image Text:13) Likelihood ratio test: You have a sample from a gamma distribution. You know that B = 5 and that n> 100. You would like to do the following test: Ho: a = 2 Hạ: a+ 2. You calculated the maximum value of the likelihood function under the null hypothesis and find it is equal to 24. Also you find the maximum likelihood estimator of a and find that at this point the value of the likelihood function is 196. Test the hypothesis. Show your work.
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