Please solve so that I can learn.

Problem 1 (30 points) Assume that X1, X2, - - - ,Xn are generated i.i.d. according to the following distribution: PI'(X=Z)=6(16)1, fori:07132333.-. In other words, the pdf (pmf) of the distribution that generates the data is of the form f (X = 216) = 0(1 6W, where 6 is an unknown parameter. Consider the following hypothesis testing problem: where we assume that 9a > 90. Derive the most powerful test for this hypothesis testing problem and specify what the acceptance/ rejection regions are for a given signicance level do (you can assume that n is large)