Refer to the Nature (March 20, 2008) study of whether the saying "nice guys finish last" applies to business, Exercise 11.14. Recall that college students repeatedly played a version of the game "prisoner's dilemma," where competitors choose cooperation, defection, or costly punishment. At the conclusion of the games, the researchers recorded the average payoff and the number of times punishment was used by each player. The data in the table are representative of the data obtained in the study. The researchers concluded that "punishers tend to have lower payoffs." Do you agree? Use Spearman's rank correlation statistic to support your conclusion.

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Payoff Punish Payoff Punish -0.20 0.50 0.15 -0.30 -0.10 -0.20 -0.25 1 0.20 0.30 10 12 14 16 17 0.25 0.00 0.30 4 0.10