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Statistical Reasoning - Mackey & Name Adam Saadeh Ch 2 Practice Quiz + Topic 4 (Increasing Data) HW WILL BE CHECKED IN - 3 pages! 1) One way to compare two catchers' abilities is to compare winning percentages in games started by Molina and games started by Posada. With a certain pitcher, the Yankees were 7- 4 with Molina and 10-6 with Posada. Answer the following questions to decide if the performances of Molina and Posada give convincing evidence that Molina has a greater ability at the catcher position than Posada. a) Make a two-way table to represent this Molina Posada Total data . win 7 10 17 LOSS u 6 10 Total 16 |27 b) State the hypotheses we are interested in testing. Ho: The yankees have the same ability to win with Molina and Posada starting the games Ha: The yankees have a lesser ability to win with Posada than Molina starting the games. c) What is the verbal description AND the value of the test statistic? d) Describe how to simulate the distribution of the test statistic using notecards. e) Here are the results of a simulation of 100 trials. Estimate and interpret the p-value. AD -20 20 40 Simulated Difference in Whaling Percentage [Melina - Posada)