In: Statistics and Probability
a) The probability of the first serve is good for a tennis player is denoted by p. A player decides to increase p by taking a training program. After the training program completed, the player wishes to test Ho : p = 0.40 against HI : p > 0.40 . Let y be the number of first serve is good. Given that the total number of first serve, n = 20 and the critical region of the test is y 214} .
i) Determine the value of significance level, a for this test.
Find the probability of committing Type Il error if p = 0.65 .