Solve the Problem Determine the Winner Using the Pairwise Comparison Method and State

question 67

Multiple Choice

Solve the problem.
-The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The voter profile below shows the results of the ballots with
Candidates Clark (C) , Jones (J) , and Smith (S) .
$\begin{array} { c | l } \text { Number of Voters } & \text { Ranking } \\\hline 7 & \mathrm {~J} > \mathrm { S } > \mathrm { C } \\10 & \mathrm {~S} > \mathrm { J } > \mathrm { C } \\4 & \mathrm {~J} > \mathrm { C } > \mathrm { S } \\8 & \mathrm { C } > \mathrm { S } > \mathrm { J }\end{array}$
Determine the winner using the pairwise comparison method and state whether the winner
Received a majority of votes.

• A)Jones; no
• B)Jones; yes
• C)Smith; yes
• D)Smith; no

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Definitions:

Surcharge

An additional charge, tax, or fee added to the usual cost or bill, often for specific reasons or services.

Systematic Random Sample

A sampling method where elements are selected from an ordered population using a fixed, periodic interval.

Random Selection

Random selection is a process in statistical sampling where each member of the population has an equal chance of being chosen, ensuring the sample is representative of the whole.

Sample

A sample is a subset of a larger population, selected for the purpose of analysis, which is used to infer or predict characteristics or outcomes for the whole population.