3.42 In business, do nice guys finish first or last? Refer to the Nature (March

Question

3.42 In business, do nice guys finish first or last? Refer to the Nature (March 20, 2008) study of the use of punishment in cooperation games, Exercise 3.11 101). Recall that college students repeatedly played a version of the game "prisoner's dilemma and the researchers recorded the average payoff and the number of times cooperation, defection, and punishment were used for each player. (a) A test of no correlation between coopera- tion use (x) and average payoff (y) yielded a p-value of .33. Interpret this result. (b) A test of no correlation between defection use (x) and average payoff (y) yielded a p-value of .66. Interpret this result (c) A test of no correlation between punishment use (x) and average payoff (y) yielded a -value of .001. Interpret this result.

Explanation / Answer

Result:

a).

Since the p value of 0.33 > 0.05 level of significance, there is no significant correlation between cooperation use(x) and average payoff (y).

b).

Since the p value of 0.66> 0.05 level of significance, there is no significant correlation between defection use(x) and average payoff (y).

a).

Since the p value of 0.001 < 0.05 level of significance, there is a significant negative correlation between punishment use(x) and average payoff (y).

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