Let p denote the probability of getting a lead when a given coin is tossed once. Suppose that the hypothesis Hy p=0.5 is rejected in favour of H₁: p=0.6 if 10 trials result in 7 or more heads. 2.1 Calculate the probability of type I error. 2.2 Calculate the probability of type II error. 2.3 Calculate the power of this test.