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In an election with three candidates, A, B, and C, the voters have the following preferences: 12% approve of A only. 19% approve of A (first choice) but also approve of B. 17% approve of B (first choice) but also approve of A. 25% approve of C (first choice) but also approve of A. 27% approve of C (first choice) but also approve of B. a. Which candidate wins an approval vote? b. Fairness Criterion 1 states, "If a candidate receives a majority of the first-place votes, that candidate should be the winner." Is this criterion satisfied in this election? Explain.

In an election with three candidates, A, B, and C, the voters have the following preferences: 12% approve of A only. 19% approve of A (first choice) but also approve of B. 17% approve of B (first choice) but also approve of A. 25% approve of C (first choice) but also approve of A. 27% approve of C (first choice) but also approve of B. a. Which candidate wins an approval vote? b. Fairness Criterion 1 states, "If a candidate receives a majority of the first-place votes, that candidate should be the winner." Is this criterion satisfied in this election? Explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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In an election with three candidates, A, B, and C, the voters have the following preferences: 12% approve of A only. 19% approve of A (first choice) but also approve of B. 17% approve of B (first choice) but also approve of A. 25% approve of C (first choice) but also approve of A. 27% approve of C (first choice) but also approve of B. a. Which candidate wins an approval vote? b. Fairness Criterion 1 states, “If a candidate receives a majority of the first-place votes, that candidate should be the winner.” Is this criterion satisfied in this election? Explain.

In an election with three candidates, A, B, and C, the voters have the following preferences: 12% approve of A only. 19% approve of A (first choice) but also approve of B. 17% approve of B (first choice) but also approve of A. 25% approve of C (first choice) but also approve of A. 27% approve of C (first choice) but also approve of B. a. Which candidate wins an approval vote? b. Fairness Criterion 1 states, "If a candidate receives a majority of the first-place votes, that candidate should be the winner." Is this criterion satisfied in this election? Explain.
Transcribed Image Text:In an election with three candidates, A, B, and C, the voters have the following preferences: 12% approve of A only. 19% approve of A (first choice) but also approve of B. 17% approve of B (first choice) but also approve of A. 25% approve of C (first choice) but also approve of A. 27% approve of C (first choice) but also approve of B. a. Which candidate wins an approval vote? b. Fairness Criterion 1 states, "If a candidate receives a majority of the first-place votes, that candidate should be the winner." Is this criterion satisfied in this election? Explain.
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