3. Some tennis player's believe they have a better chance of winning the point if they are the one serving for the point. Suppose that in a particular match, Samson wins 46 of the 62 points when he's serving but only 23 of the 52 points when his opponent is serving. Does this data give convincing evidence that Samson plays better when serving? a) How much better did Samson perform when serving? Calculate the difference in the percentage of points won (the test statistic). Show work. b) State the hypotheses we are interested in testing. c) Suppose that the results of a simulation gave a p-value of 0.24, interpret this value. d) What conclusion would you make based on the p-value from part d? e) If your conclusion from part d was in error, what type of error did you commit? Explain. f) Describe this type of error in context. 9) Describe how to reduce the likelihood of this error occurring. h) If we concluded that Samson's ability to win points when serving is lower than his ability to win points when his opponent is serving, can we conclude that his serving is the cause of the difference