2. Let X be a random variable whose PMF under Ho and H₁ is given by C x 1 2 3 f(x | Ho) .01 .01 .01 4 5 6 7 .01 .01 .01 .94 f(x | H₁) .06 .05 .04 .03 .02 .01 .79 Use the Neyman-Pearson Lemma to find the most powerful test for Ho vs H₁ with size a = 0.04. Compute the probability of a Type II error.

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2. Let X be a random variable whose PMF under Ho and H₁ is given by
C
x
1
2
3
f(x | Ho) .01
.01
.01
4 5 6 7
.01 .01 .01 .94
f(x | H₁) .06
.05 .04
.03 .02
.01 .79
Use the Neyman-Pearson Lemma to find the most powerful test for Ho vs H₁ with size a = 0.04.
Compute the probability of a Type II error.
Transcribed Image Text:2. Let X be a random variable whose PMF under Ho and H₁ is given by C x 1 2 3 f(x | Ho) .01 .01 .01 4 5 6 7 .01 .01 .01 .94 f(x | H₁) .06 .05 .04 .03 .02 .01 .79 Use the Neyman-Pearson Lemma to find the most powerful test for Ho vs H₁ with size a = 0.04. Compute the probability of a Type II error.
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