Question

In a classic prisoner's dilemma game with money for prizes, players who cooperate with each other both earn good prizes. If, however, your opposing player cooperates but you do not (the term used is defect), you receive an even bigger payout and your opponent receives nothing. If you cooperate but your opposing player defects, he or she receives that bigger payout and you receive nothing. If you both defect, you each get a small prize. Because of this, most players of such games choose to defect, knowing that if they cooperate but their partners don't, they won't win anything. The strategies of U.S. and Chinese students were compared. The researchers hypothesized that those from the market economy (United States) would cooperate less (i.e., would defect more often) than would those from the nonmarket economy (China). Defect Cooperate China 31 36 United States 41 14 What is/are the variable(s) in this study and, if appropriate, what are the levels of any variables you identified?

Answer 1

Check the explanation

Explanation:

a. there are two categorical variables here:

region with two level : China and US

and cooperation with two level : Defect and cooperate.

b. Chi-square test for association can be used here since the variables are categorical in nature.

Chi-Square Test for Association: C6, Worksheet columns

Rows: C6 Columns: Worksheet columns

defect cooperate All

China 31 36 67

39.54 27.46

US 41 14 55

32.46 22.54

All 72 50 122

Cell Contents: Count

Expected count

Pearson Chi-Square = 9.985, DF = 1, P-Value = 0.002

Likelihood Ratio Chi-Square = 10.231, DF = 1, P-Value = 0.001