In order to maintain a certain level of proficiency, a bowling league desires to only admit bowlers who score at least 2

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In Order To Maintain A Certain Level Of Proficiency A Bowling League Desires To Only Admit Bowlers Who Score At Least 2 1 (123.09 KiB) Viewed 82 times

In order to maintain a certain level of proficiency, a bowling league desires to only admit bowlers who score at least 200 in more than 1/3 of the games they bowl. Thus, for an individual wishing to join the league, the goal is to test Ho: 15 vs. He : 1 > į where a is the true proportion of games that a bowler has a score of at least 200. In practice, the league allows bowlers to join the league if they score at least 200 in at least 4 out of 6 "tryout” games. (a) What is the a-level for this test? (b) If a particular bowler scores at least 200 in 50% of the games they bowl, what is the power of the league's test? (c) If the number of practice games stays at 6 and H, and He remain the same, is it possible to reduce the Type I error rate to less than 0.05 while keeping the power of the test constant? Briefly explain.