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Testing the Support of a Uniform Variable: Type 1 Error of a Test 1 punto posible (calificabEe} d . Let X1, . . . ,

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Testing the Support of a Uniform Variable: Type 1 Error of a Test 1 punto posible (calificabEe} \"d . Let X1, . . . , X\" it Un1f[0, 9] for an unknown parameter 9, and consider the statistical test 1!)\" = 1(max X1- > 1/2) 19571 to decide between the null and alternative hypotheses Haze g1/2 H116 >1/2. Compute the power function 15' (9) for all 9 E 80. 13(9) = Testing the Support of a Uniform Variable: Type 2 Error of a Test 3 puntos posibles (calificables) This question uses the same setup as the previous one. Compute the power function B (0) for all 0 E O1 = {0 > } B (0) = What is lime- B (0)? lime- B (0) = Given 0 > 1/2, what is limn- B (0)? limn-+% B (0) =

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