2) Let X to be a random sample from a distribution with a probability density function given by (0x8-1 f (x;0) = {0x0-¹, if 0 < x < 1, 0 € (1,2), elsewhere It is desired to test a null hypothesis Ho: 0 = 1 against the alternative hypothesis H₁: 0 = 2. √√3 Suppose that the test rejects H₁ if x ≥ x i) Find the level of significance of the test, a (ii) Calculate the power of the test.

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