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James is a baseball player who hits left handed. Based on his past statistics, his strikeout rate against left-handed pitchers is 12.5%. He would like

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James is a baseball player who hits left handed. Based on his past statistics, his strikeout rate against left-handed pitchers is 12.5%. He would like to reduce this rate, so he changes his batting stance. To test whether it works, he uses a pitching machine to simulate 200 at bats. In these, he struck out 16 times. James conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion of strikeouts against left-handed pitchers using James's new stance is less than 12.5%. (a) Ho : p = 0.125; Ha : p

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