1. State the null and alternative hypotheses for the following examples. a) During the 2003 football season, Michigan State had a home record of 5-3 and a road record of 3-3. Do these performances indicate that Michigan State had a greater ability to win at home? b) During their 2008 season, Tony's tee ball team had 15 homeruns in the warmer months (July and August) and 6 homeruns in the cooler months (September and October). Do these performances indicate that Tony's tee ball team performed differently in the warmer versus the cooler months? 2. Tom Verducci suggests that some quarterbacks have a better ability to win in domes than in outdoor stadiums. Specifically, he points out that Peyton Manning (who plays his home games in a dome) is 6-3 during the playoffs when playing in a dome, but only 3-5 in the playoffs when playing outdoors. a) State the hypotheses you are interested in testing. b) Suppose that Manning's record was 60-30 when playing in a dome and 30-50 when playing outdoors, giving him the same difference in his winning percentages as in part (a). Explain how increasing the number of games in each context will affect the p-value