Assume an urn contains 100 round marbles. Among these 100 marbles, four are bigger than the rest. The radius of bigger marbles is 7 times the rest. We randomly pick a marble. The null hypothesis is "all marbles are equally likely to be picked up". The alternative hypothesis is "bigger marbles has 45 times probability of being picked up as others". The critical region is the marble is a big one.

(a) Find the level of significance.

(b) Find the power of the test.