Let x1 x2 be a random sample from a distribution with

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Let X1, X2 be a random sample from a distribution with density function f(X)=thetaX^theta-1 for 0<X<1. The null hypothesis H0: theta=3 is tested against the alternative hypothesis Ha: theta=2 using the test statistic Y=max(X1, X2). If the critical region is {Y:Y<1/2} then what is the probability of a type I error?

Reference no: EM13615742

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