Leroy, a player for a major college basketball team, made only 38.4% of his free throws last season. During the summer he worked on developing a softer shot in the hope of improving his free-throw accuracy. In the first eight games of this season, Leroy made 20 free throws in 40 attempts. Do these result provide evidence that his free throw percentage has improved during the summer? (a) Write an appropriate system of hypotheses to answer the question. (b) What can you conclude at a 5% significance level? (c) What assumptions are needed for the validity of the test that you performed?

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