#5 a. Use the Neyman-Pearson Lemma to indicate how to construct the most powerful critical region of size a to test the null hypothesis e = Oo against the alternative hypothesis O = O, (O1 > 0), where 0< O <1. The test is based on a sample of size n from the following distribution: f(x; O) = 0*(1-0)-x ; x= 0, 1 b. How would your critical region change if the alternative value O, is less than Oo? Explain why this change makes sense.

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#5 a. Use the Neyman-Pearson Lemma to indicate how to construct the most powerful
critical region of size a to test the null hypothesis e = Oo against the alternative
hypothesis O = O, (O1 > 0), where 0< O <1. The test is based on a sample of size n
from the following distribution:
f(x; O) = 0*(1-0)-x ; x= 0, 1
b. How would your critical region change if the alternative value O, is less than Oo? Explain
why this change makes sense.
Transcribed Image Text:#5 a. Use the Neyman-Pearson Lemma to indicate how to construct the most powerful critical region of size a to test the null hypothesis e = Oo against the alternative hypothesis O = O, (O1 > 0), where 0< O <1. The test is based on a sample of size n from the following distribution: f(x; O) = 0*(1-0)-x ; x= 0, 1 b. How would your critical region change if the alternative value O, is less than Oo? Explain why this change makes sense.
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