answer all questions with explanation

Practice Problem 1.7D Suppose you want to test a person's ability to discriminate between two types of soda. You fill one cup with Soda A and two cups with Soda B. The subject tastes all 3 cups and is asked to identify the odd soda. You record the number of correct identifications in 10 attempts. Assume a = 0.05 and a one-sided alternative. (a) If the subject's actual probability of a correct identification is 0.50, what is the power of this test for a level of significance of a = 0.05? [Hint: What is the null hypothesis?] (b) Write a one-sentence interpretation of the power you calculated in (a) in context. (c) What is the power if you give the subject 20 attempts