Question: Statistical inference Please answer this question below. Thank you. Let F and G be cumulative distribution functions of two known continuous uni- variate probability distributions.

Statistical inference

Please answer this question below.

Thank you.

Let F and G be cumulative distribution functions of two known continuous uni- variate probability distributions. Let X be a single observation from the distribution with cumulative distribution function OF(x) + (1 -0)G(x), where 0 e [0, 1] is unknown. Find a UMP test of size o for testing Ho : 0 60, where do 6 0, 1] is known. Also find the power function of this test

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