Let X1, ..,Xn and Y1, .., Y, be random and i.i.d samples respectively of size n with densities Beta (u, 1) and Beta (0, 1) respectively. Also, let X and Y be independent of each other. Assume the testing of the following: Ho:=0 us Hue Note: the density of X ~ Beta(a, B) is f(x; a, B) = 1 B(a,A) x"-1(1 - x)B-1, where: B(a, B) = [ t -1(1 - t)8-1 is the Beta function, a, B > 0 and 0