Exercise 6. Let 0> 0 and XU[0,0], i.e. X is uniformly distributed on the interval [0,0].a) As a function of 0, determine P(X ≤ 1).b) Assume that is unknown, but we can observe X. For given 0o, we want to test thehypothesis Ho: 0 ≥ 0 against the alternative H₁: 0 < 0o. Consider the test which rejectsHo, if and only if X < c. How should we choose c, as a function of 0o and a, to get a testwith significance level a? Carefully justify your answer.

Random variable X ~ U(0, ?) Pdf of X : f(x)=1/? : 0<X<? Hypothesis testing H0: ?≥?0 vs Ha:…

a) As a function of 0, determine P(X ≤ 1). b) Assume that is unknown, but we can observe X. For given 0o, we want to test the hypothesis Ho: 0 ≥00 against the alternative H₁: 0 < 0o. Consider the test which rejects Ho, if and only if X < c. How should we choose c, as a function of 0o and a, to get a test with significance level a? Carefully justify your answer.

a) As a function of 0, determine P(X ≤ 1). b) Assume that is unknown, but we can observe X. For given 0o, we want to test the hypothesis Ho: 0 ≥00 against the alternative H₁: 0 < 0o. Consider the test which rejects Ho, if and only if X < c. How should we choose c, as a function of 0o and a, to get a test with significance level a? Carefully justify your answer.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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