17) In the February 1, 2009 edition of the Arizona Daily Star, Ryan Finley wonders what effect a new logo has had on the Arizona Cardinals. With the new, meaner-looking cardinal, the team was 30-37, but with the more gentle cardinal, the team was 96-178. a) Display these results in a two-way table. b) How much better have the Cardinals performed with the new logo? Calculate the value of the test statistic [difference in win 6]. c1) State the hypotheses we are interested in testing. c2) Describe IN DETAIL how to simulate the distribution of the test statistic (using note cards) assuming that the Cardinals has the same ABILITY to win with either logo. (Use steps like in 16d and in class...) A 100-trial simulation was conducted, assuming the ABILITY of the Cardinals is the same with either logo. The simulated difference in winning percentage from each trial was recorded in the dotplot. -10 10 15 Simulated Difference in Winning Percentage (New Logo - Old Logo) d1) Estimate and interpret the p-value in this context. d2) Based on the p-value, make an appropriate conclusion. e) If there was convincing evidence that the Cardinals' ABILITY is higher with the new logo, would it be reasonable to conclude that the new logo is the cause of the increase in ABILITY? Explain