5. In Exercise 3 from Section 3.1 Guided Notes, we gave data that will allow you to see if there convincing evidence that Rafael Nadal had a greater ABILITY to win a tennis match on clay courts compared to grass or hard court surfaces. a. Re-visit that table and explain how to use note cards to simulate the difference (clay - not clay) in winning percentage, assuming that Nadal had the same ABILITY to win a match in both contexts. b. The dotplot below shows the results of 100 simulated sets of 162 matches, as described in part (a). Describe the variability in the results of the simulation. c. Use the results of the simulation to estimate the p-value. d. Based on the p-value, is there convincing evidence that Rafael Nadal had a greater ABILITY to win a match when it was on clay? Explain. | 0.25 -0.2 0.15 0.1 0.05 0 0.05 0.1 0.15 02 025 Simulated difference (clay -not clay) win winning percentage