Suppose X is a single observation from a Beta(0,1) population where 0 > 0. a) For testing Ho:0 <1 vs. H1:0 > 1, find the size of the test that rejects Ho if X >: b) Find a UMP level a test for testing Ho:0 = 1 vs. H1:0 = 2. Eind a IIMP lovel g test for testing H.: A 1 ve U..A 1

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Suppose X is a single observation from a Beta(0,1) population where 0 > 0.
a) For testing Ho:0 <1 vs. H1:0 > 1, find the size of the test that rejects Ho if X >
b) Find a UMP level a test for testing Ho:0 = 1 vs. H1: 0 = 2.
%3D
c) Find a UMP level a test for testing Ho:0 <1 vs. H1:0 > 1.
d) Let Y = -(log X)-1. Find the confidence coefficient of the interval ,y.:
%3D
Transcribed Image Text:Suppose X is a single observation from a Beta(0,1) population where 0 > 0. a) For testing Ho:0 <1 vs. H1:0 > 1, find the size of the test that rejects Ho if X > b) Find a UMP level a test for testing Ho:0 = 1 vs. H1: 0 = 2. %3D c) Find a UMP level a test for testing Ho:0 <1 vs. H1:0 > 1. d) Let Y = -(log X)-1. Find the confidence coefficient of the interval ,y.: %3D
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