Excursions in Modern Mathematics (8E) [Math 11008: Explorations in Modern Mathematics] (Kent State University)
10th Edition
ISBN: 9781269446716
Author: Peter Tannenbaum
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 1, Problem 56E
Explain why the method of pair wise comparisons satisfies the majority criterion.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
onrad wants to conduct a survey of students at his middle school to determine which sports they prefer to play.Which two survey methods would likely generate fair and impartial results?
For marketing purposes, a football team has four jerseys-white, yellow, black, and green-and three
pairs of pants-white, yellow, and black. Which table shows the correct sample space?
White Jersey Yellow Jersey Black Jersey
White Pants
Yellow Pants
Black Pants
White Jersey Yellow Jersey | Black Jersey
White Pants
Yellow Pants
White JerseyYellow Jersey Black Jersey Green Jersey
White Pants
Yellow Pants
Black Pants
White Jersey Yellow Jersey Black Jersey
White Pants
Yellow Pants
Black Pants
Green Pants
A curious student wants to see if she can conclude that a higherproportion of Woodland College students transfer to Sac State than Yuba College students. He samples 82 Woodland College students and finds that 23 of them transferred to Sac State. He also samples 95 Yuba college students and finds that 21 of them transferred to Sac State. What can be concluded at a 5% significance level? Use the pvalue approach.
Chapter 1 Solutions
Excursions in Modern Mathematics (8E) [Math 11008: Explorations in Modern Mathematics] (Kent State University)
Ch. 1 - Figure 1-8 shows the preference ballots for an...Ch. 1 - Figure 1-9 shows the preference ballots for an...Ch. 1 - An election is held to choose the Chair of the...Ch. 1 - The student body at Eureka High School is having...Ch. 1 - An election is held using the printed-names format...Ch. 1 - Prob. 6ECh. 1 - Prob. 7ECh. 1 - Table 1-30 shows a conventional preference...Ch. 1 - The Demublican Party is holding its annual...Ch. 1 - The Epicurean Society is holding its annual...
Ch. 1 - Table 1-31 shows the preference schedule for an...Ch. 1 - Table 1-32 shows the preference schedule for an...Ch. 1 - Table 1-33 shows the preference schedule for an...Ch. 1 - Table 1-34 shows the preference schedule for an...Ch. 1 - Table 1-35 shows the preference schedule for an...Ch. 1 - Table1-36 shows the preference schedule for an...Ch. 1 - Table 1-25 see Exercise 3 shows the preference...Ch. 1 - Table 1-26 see Exercise 4 shows the preference...Ch. 1 - Table 1-25 see Exercise 3 shows the preference...Ch. 1 - Table 1-26 see Exercise 4 shows the preference...Ch. 1 - Table 1-31see Exercise 11 shows the preference...Ch. 1 - Table 1-32 see Exercise 12 shows the preference...Ch. 1 - Table 1-33 see Exercise 13 shows the preference...Ch. 1 - Table 1-34 Number of voters 6 6 5 4 3 3 1st A B B...Ch. 1 - Table 1-35 Percent of voters 24 23 19 14 11 9 1st...Ch. 1 - Table 1-36 Percent of voters 25 21 15 12 10 9 8...Ch. 1 - The Heisman Award. Table 1-37 shows the results...Ch. 1 - The 2014 AL Cy Young Award. Table 1-38 shows the...Ch. 1 - An election was held using the conventional Borda...Ch. 1 - Imagine that in the voting for the American League...Ch. 1 - Table 1-31 see Exercise 11 shows the preference...Ch. 1 - Table 1-32 see Exercise 12 shows the preference...Ch. 1 - Table1-33 Number of voters 6 5 4 2 2 2 2 1st C A B...Ch. 1 - Table 1-34 See Exercise 14 shows the preference...Ch. 1 - Table1-39_ shows the preference schedule for an...Ch. 1 - Table1-40_ shows the preference schedule for an...Ch. 1 - Table 1-35 see Exercise 15 shows the preference...Ch. 1 - Table 1-36 see Exercise 16 shows the preference...Ch. 1 - Top-Two Instant-Runoff Voting. Exercises 39 and 40...Ch. 1 - Top-Two Instant-Runoff Voting. Exercises 39 and 40...Ch. 1 - Table 1-31 see Exercise 11 shows the preference...Ch. 1 - Table 1-32 See Exercise 12 shows the preference...Ch. 1 - Table 1-33 see Exercise 13 shows the preference...Ch. 1 - Table 1-34 see Exercise 14 shows the preference...Ch. 1 - Table 1-35 see Exercise 15 shows the preference...Ch. 1 - Table 1-36 see Exercise 16 shows the preference...Ch. 1 - Table 1-39 see Exercise 35 shows the preference...Ch. 1 - Table1-40 see Exercise36 shows the preference...Ch. 1 - An election with five candidates A, B. C, D, and E...Ch. 1 - An election with six candidates A, B, C, D, E, and...Ch. 1 - Use Table 1-41 to illustrate why the Borda count...Ch. 1 - Use Table 1-32 to illustrate why the...Ch. 1 - Use Table 1-42 to illustrate why the plurality...Ch. 1 - Use the Math Club election Example 1.10 to...Ch. 1 - Use Table 1-43 to illustrate why the...Ch. 1 - Explain why the method of pair wise comparisons...Ch. 1 - Prob. 57ECh. 1 - Explain why the plurality method satisfies the...Ch. 1 - Explain why the Borda count method satisfies the...Ch. 1 - Explain why the method of pairwise comparisons...Ch. 1 - Two-candidate elections. Explain why when there...Ch. 1 - Alternative version of the Borda count. The...Ch. 1 - Reverse Borda count. Another commonly used...Ch. 1 - The average ranking. The average ranking of a...Ch. 1 - The 2006 Associated Press college football poll....Ch. 1 - The Pareto criterion. The following fairness...Ch. 1 - The 2003-2004 NBA Rookie of the Year vote. Each...Ch. 1 - Top-two IRV is a variation of the...Ch. 1 - The Coombs method. This method is just like the...Ch. 1 - Bucklin voting. This method was used in the early...Ch. 1 - The 2016 NBA MVP vote. The National Basketball...Ch. 1 - The Condorcet loser criterion. If there is a...Ch. 1 - Consider the following fairness criterion: If a...Ch. 1 - Suppose that the following was proposed as a...Ch. 1 - Consider a modified Borda count where a...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- What is a sample space?arrow_forwardhe city of Raleigh has 7000 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 400 randomly selected registered voters was conducted. 131 said they'd vote for Brown, 259 said they'd vote for Feliz, and 10 were undecided.Give the sample statistic for the proportion of voters surveyed who said they'd vote for Brown. Note: The proportion should be a fraction or decimal, not a percent. This sample statistic suggests that we might expect of the 7000 registered voters to vote for Brown.arrow_forwardIn the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts College, and 30% of the students were in the Education College. To see whether or not the proportions have changed, a sample of 300 students from the university was taken. Ninety of the sample students are in the Business College, 120 are in the Liberal Arts College, and 90 are in the Education College. The calculated value for the test statistic equals Question 15 options: a) 0.75 b) 4.29 c) 4.38 d) 0.01arrow_forward
- Company has the head office at Kolkata and a branch at Mumbai. The personal director wanted to know if the workers at two place would like the introduction of new plan work and a survey was conducted for purpose. Out of 500 workers at Kolkata, 62% favoured the new plane. At Mumbai out 400 workers, 41% were against the new plan. Is there any significance difference between the two groups in their attitude towards the new plan at 5% level.arrow_forwardThe city of Raleigh has 7200 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 200 randomly selected registered voters was conducted. 119 said they'd vote for Brown, 76 said they'd vote for Feliz, and 5 were undecided. This sample statistic suggests that we might expect of the 7200 registered voters to vote for Brown.arrow_forwardA famous online video game streamer made a quick survey whether his viewers are playing video games or not. Results showed that almost 100% said they play video games. What kind of bias was made? Selection Bias Survivorship Bias Confirmation Bias Preference Biasarrow_forward
- A study was conducted to investigate whether there are regional differences in peanut butter preference in the United States. The country was divided into 7 geographic regions, and in each region, a random sample of peanut butter eaters was asked whether they preferred creamy or crunchy peanut butter. The responses were summarized in a 7-by-2 table of counts for each combination of geographic region and creamy or crunchy peanut butter preference. Which of the following tests is the most appropriate for the investigation? A two-sample tt-test for a difference between means A A two-sample zz-test for a difference between proportions B A chi-square test of homogeneity C A chi-square test of independence D A chi-square goodness-of-fit test Earrow_forwardA researcher conducted a study to investigate whether local car dealers tend to charge women more than men for the same car model. Using information from the county tax collector’s records, the researcher randomly selected one man and one woman from among everyone who had purchased the same model of an identically equipped car from the same dealer. The process was repeated for a total of 8 randomly selected car models. The purchase prices and the differences (woman – man) are shown in the table below. Summary statistics are also shown. Dotplots of the data and the differences are shown below. Do the data provide convincing evidence that, on average, women pay more than men in the county for the same car model?arrow_forwardTo test the fairness of law enforcement in Bartow County, a local citizens' group want to know whether women and men are unequally likely to get speeding tickets. Two hundred adults in Bartow County are randomly phoned and asked whether or not they had been cited for speeding in the last year. For a sample of 114 women, 12 were ticketed and 102 were not ticketed. For a sample of 86 men, 11 were ticketed and 75 were not ticketed. Use a 0.05 level of significance to test the claim that women and men are unequally likely to get speeding tickets. Women are sample proportion 1. Men are sample proportion 2. What is the z-test statistic for this problem? Round the answer to two decimal places. What is the p-value for this problem? Round the answer to three decimal places. What is the conclusion when you compare the p-value and the level of significance,? What is the conclusion based on the original claim?arrow_forward
- Author Cary McNeal Ben Mezrich Smith Gavin Menzies Charles C. Mann Adam Goodheart Dickens John Kennedy Toole Ernest Hemingway O Weight O NumPages O Height Thick Amazon Price 5.18 10.2 1.5 10.87 16.77 16.44 13.46 8.44 19.8 NumPages 304 273 96 672 720 460 336 405 304 Height 7.8 8.4 8.3 8.8 8 8.9 7.8 8.2 9.6 Thick 0.8 0.7 0.3 1.6 1.4 1.7 1.2 0.8 1.1 Weight (oz) 11.2 7.2 4 28.8 22.4 32 15.5 11.2 19.2arrow_forwardGlobally, 35% of all ridged brittleshell tortoises have spots on their shells. A herpetologist in Citition collects a sample of 38 ridged brittlesell tortoises and finds that 16 of them have spots on their shells. The herpetologist would like to test the claim that the proportion of ridged brittleshell tortoises in Cititon with spots on their shells is greater than 35%. The herpetologist ends up rejecting the null hypothesis. If the actual proportion of ridged brittleshell tortoises in Cititon with spots on their shells is 41%, then what type of error, if any, has occurred? In the problem above, what is the test statistic?arrow_forwardThe College of Science surveys its graduating students to determine the starting salaries and the job market for the new graduates. The population of graduating students according to majors is recorded as follows: BS Bio (85), BSM- CS (102), BSM- BA (78), and BSM- AS (75). If you would like to select 100 samples, how large must a sample be for each major using proportionate allocation? Courses Number of Proportion Samples BS Biology students 85 BSM- CS 102 BSM- BA 78 BSM- AS 75 Total 100arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Grade 12 and UG/ Introduction to logical statements and truth tables; Author: Dr Trefor Bazett;https://www.youtube.com/watch?v=q2eyZZK-OIk;License: Standard YouTube License, CC-BY