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John, a starting player for a major college basketball team, made only 38.4% of his free throws last season. During the summer he worked

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John, a starting 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, John made 25 free throws in 40 attempts. Let be his probability of making each free throw he shoots this season. a. Give a 90% confidence interval for the proportion of free throws John will make this season. Round your percentages to one decimal place. We are 90% confident that the true percentage of free throws John will make this season is between * % and b. Do his results in the eight games indicate that his work in the summer resulted in a higher probability of success? yes * %.

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