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Question 3. There are two identical coins, each with a probability p e (0,1) to turn up a head when tossed. To test if the coins are fair, an experiment was performed 20 times. For the ith experiment, the coins were tossed together, and denote X. = 1 if they turned up differently (one head and one tail), and X, = 0 otherwise. (a) Specify the null and alternative hypothesis in terms of the unknown parameter p. (b) Taking X as the test statistic, find a critical (rejection) region for the specified hypothesis test, with significance level 5%. (c) When p = 0.75, find the probability of the Type II error of the test specified in part (b)