Table 22-5
The citizens of Anytown will decide whether to build a new library, a recreation center, or an arena. Exactly one of the three choices will prevail, and the choice will be made by way of pairwise voting, with the majority determining the outcome on each vote. The preferences of the voters are summarized in the table below.
-Refer to Table 22-5. Which of the following statements is correct?
A)In a pairwise election, "library" beats "arena."
B)In a pairwise election, "arena" beats "recreation center."
C)In a pairwise election, "library" beats "recreation center."
D)All of the above are correct.

Question

Table 22-5
The citizens of Anytown will decide whether to build a new library, a recreation center, or an arena. Exactly one of the three choices will prevail, and the choice will be made by way of pairwise voting, with the majority determining the outcome on each vote. The preferences of the voters are summarized in the table below. 
-Refer to Table 22-5. Which of the following statements is correct?
A)In a pairwise election, "library" beats "arena." 
B)In a pairwise election, "arena" beats "recreation center." 
C)In a pairwise election, "library" beats "recreation center." 
D)All of the above are correct.

Quizplus · Accepted Answer

In a pairwise election between "library" and "recreation center," "library" wins with a margin of 52-48%. In a pairwise election between "library" and "arena," "library" wins with a margin of 55-45%. However, in a pairwise election between "arena" and "recreation center," "arena" wins with a margin of 51-49%. Therefore, the best choice would be to build a new library.

Table 22-5 the Citizens of Anytown Will Decide Whether to Build a Build