Suppose that we observe m iid Bernoulli(0) random variables, denoted by Y₁,..., Ym. Show that the LRT of Ho: 0 < 0o versus H₁ : 0 > 00 will reject Ho if, Y₁ > b.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 29E
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Suppose that we observe
m iid Bernoulli(0) random variables, denoted by Y₁,..., Ym. Show that the LRT of
Ho: 0 ≤ 0, versus H₁ : 0 > 0。 will reject Ho if Σm, Yi > b.
i=1
Transcribed Image Text:Suppose that we observe m iid Bernoulli(0) random variables, denoted by Y₁,..., Ym. Show that the LRT of Ho: 0 ≤ 0, versus H₁ : 0 > 0。 will reject Ho if Σm, Yi > b. i=1
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