Recall that college students repeatedly played a version of the game "prisoner's dilemma" and the researchers recorded the average payoff (y) and the number of times punishment was used (x) for each player. A negative correlation was discovered between x and y.
a. Give the null and alternative hypotheses for testing whether average payoff and punishment use are negatively correlated.
b. The test, part a, yielded a p-value of .001. Interpret this result using x = .05.
c. Does the result, part b, imply that increasing punishment causes your payoff to decrease? Explain.