College dining is considering opening a national fast food franchise on campus. Their choices have been narrowed down to Chick-fil-A, Arby's, Moe's, Domino's, or Wendy's and will leave the choice to the students. Students were asked to rank these establishments in order of preference, and the results are shown in the preference table. Determine if the majority criterion was satisfied if the college uses the Borda count method and opens a Domino's on campus. Answer Preference Table for New Franchise Votes 102 144 71 68 171 214 1st Domino's 2nd 3rd Arby's Moe's Chick-fil-A Wendy's Moe's 4th 5th Wendy's Chick-fil-A Wendy's Domino's Domino's Arby's Domino's Arby's Arby's Wendy's Chick-fil-A Chick-fil-A Wendy's Arby's Moe's Moe's Moe's Moe's Chick-fil-A Domino's Chick-fil-A Domino's Arby's Wendy's O The majority criterion is satisfied because the winner by the plurality method is Wendy's. O The majority criterion is satisfied because the winner by majority rule is Wendy's. O The majority criterion is not satisfied because the winner by majority rule is Wendy's. Keypad Keyboard Shortcuts

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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College dining is considering opening a national fast food franchise on campus. Their choices have been narrowed down to Chick-fil-A, Arby's, Moe's, Domino's, or
Wendy's and will leave the choice to the students. Students were asked to rank these establishments in order of preference, and the results are shown in the preference
table. Determine if the majority criterion was satisfied if the college uses the Borda count method and opens a Domino's on campus.
Answer
Preference Table for New Franchise
Votes
102
144
71
68
171
214
1st
Domino's
2nd
3rd
Arby's
Moe's Chick-fil-A
Wendy's
Moe's
4th
5th
Wendy's Chick-fil-A Wendy's Domino's
Domino's Arby's
Domino's Arby's
Arby's Wendy's Chick-fil-A Chick-fil-A
Wendy's Arby's Moe's
Moe's
Moe's
Moe's
Chick-fil-A Domino's Chick-fil-A Domino's Arby's Wendy's
O The majority criterion is satisfied because the winner by the plurality method is Wendy's.
O The majority criterion is satisfied because the winner by majority rule is Wendy's.
O The majority criterion is not satisfied because the winner by majority rule is Wendy's.
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Keyboard Shortcuts
Transcribed Image Text:College dining is considering opening a national fast food franchise on campus. Their choices have been narrowed down to Chick-fil-A, Arby's, Moe's, Domino's, or Wendy's and will leave the choice to the students. Students were asked to rank these establishments in order of preference, and the results are shown in the preference table. Determine if the majority criterion was satisfied if the college uses the Borda count method and opens a Domino's on campus. Answer Preference Table for New Franchise Votes 102 144 71 68 171 214 1st Domino's 2nd 3rd Arby's Moe's Chick-fil-A Wendy's Moe's 4th 5th Wendy's Chick-fil-A Wendy's Domino's Domino's Arby's Domino's Arby's Arby's Wendy's Chick-fil-A Chick-fil-A Wendy's Arby's Moe's Moe's Moe's Moe's Chick-fil-A Domino's Chick-fil-A Domino's Arby's Wendy's O The majority criterion is satisfied because the winner by the plurality method is Wendy's. O The majority criterion is satisfied because the winner by majority rule is Wendy's. O The majority criterion is not satisfied because the winner by majority rule is Wendy's. Keypad Keyboard Shortcuts
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