Anton and Edward often play a game together, so they decide to see whether or not who goes first affects who wins. They keep track of 50 games, with each going first 25 times. Of the 25 times Anton went first, he won 15 times. Of the 25 times Edward went first, he won 12 times. In constructing a contingency table for these results, the two variables are "Who went first?" and "Did the person who went first win?"
a. What are the categories for each of the two variables?
b. If the explanatory variable is used to define the rows of the contingency table, which variable would be the row variable?
c. Construct a contingency table for the results.
d. Overall, what percent of the games were won by the person who went first?
e. Is there an advantage to going first? Explain.