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In: Statistics and Probability

a) The probability of the first serve is good for a tennis player is denoted by...

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 .

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