The Accompanying Payoff Matrix Depicts the Possible Outcomes for Two

question 6

Multiple Choice

The accompanying payoff matrix depicts the possible outcomes for two players involved in a game of Ping Pong. At this point in the game, the ball has just been hit to Dagny Taggart, and she chooses whether to hit right or hit left. At the same time, John Galt chooses whether to defend right (Dagny's right) or defend left (Dagny's left) . If a player receives a payoff of 1, the player wins the point; if the player receives a payoff of ?1, the player loses the point. Use this information to answer the questions. $\begin{array} { l }&\text { John Galt }\\\text { Dagny Taggart }&\begin{array} { l }\quad\quad\quad\quad\quad\quad\text { Defendsp right }\quad\quad\quad \text { Defends left }\\\begin{array} { l }\text { Hit right }\\\\\text { Hit left}\end{array}\begin{array}{|l|l|}\hline 1\quad\quad\quad\quad\quad&-1 \quad\quad\quad\quad\quad\quad\\-1&1 \\\hline -1&1\\1&-1 \\\hline\end{array}\end{array}\end{array}$

-If John Defends left, Dagny's payoff is _________ if she hits right and _________ if she hits left.

• A) 1; ?1
• B) 1; 1
• C) ?1; 1
• D) ?1; ?1
• E) 0.5; ?0.5

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Definitions:

Explanatory Variable

A variable in a statistical model that is believed to cause or influence the response variable.

Indicator Variable

A binary variable that takes the value of 0 or 1 to indicate the absence or presence of some categorical effect that may be expected to shift the outcome.

Logistic Regression

A statistical method used for binary classification that estimates the probability of a binary response based on one or more predictor variables.

Binomial Probability

The probability of obtaining a fixed number of successful outcomes in a fixed number of trials, each with the same probability of success.