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Competitive Stats
Q8Section I (Objective (Q1–Q80))8 of 80

Power of the most powerful test

Let X∼f(x,θ)X\sim f(x,\theta). The most powerful test of size 0.100.10 for testing H0:f(x,θ)=8x7,0<x<1H_0:f(x,\theta)=8x^{7}, 0<x<1 against H1:f(x,θ)=4x3,0<x<1H_1:f(x,\theta)=4x^{3}, 0<x<1 has power:

Options

Pick an option to check your answer. In a mock test a wrong answer here costs 0.83 mark.