Question: 13.3.2 A single observation X is taken from a BETA (a, b) distribution. Find the most powerful test ofthe null hypothesis Ho:a = b =

13.3.2 A single observation X is taken from a BETA

(a,

b) distribution. Find the most powerful test ofthe null hypothesis Ho:a = b = 1, against the alternative H I :

(i) a = b = 5. (ii) a = 2, b = 3 (iii) a = b = 1/2. Use significance level Q = 0.05.

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