Connect Math hosted by ALEKS Access Card 52 Weeks for Math in Our World
3rd Edition
ISBN: 9781259232848
Author: David Sobecki, Allan Bluman
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 13.3, Problem 35E
Suppose that in an election for city council, there are nine candidates on the ballot and three will be elected.
(a) Discuss how the approval voting method could easily be adapted to this situation.
(b) Discuss how each of the other voting methods we studied would need to be adapted, including your thoughts on how difficult it would be to determine a winner and how fair you think the outcome would be.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A vote is to be taken among the residents of a town and the surrounding county to determine whether a proposed chemical plant should be constructed. The construction site is within the town limits, and for this reason many voters in the county believe that the proposal will pass because of the large proportion of town voters who favor the construction. To determine if there is a significant difference in the proportions of town voters and county voters favoring the proposal, a poll is taken. If 120 of 200 town voters favor the proposal and 240 of 500 county residents favor it, would you agree that the proportion of town voters favoring the proposal is higher than the proportion of county voters? Use an α = 0.05 level of significance.
Suppose you were going to conduct a survey of visitors to your campus. You want the survey to be as representative as possible.
How would you select the people to survey?
Why would that be your best method?
Problem:
A social science professor has received a grant to fund a research project involving voting trends in the Philippines. The budget of the grant includes P32,000 for conducting a door-to-door interviews the day before the election. College students, graduate students and faculty members will be hired to conduct the interviews. Each college student will conduct 18 interviews and be paid P1,000. Each graduate student will conduct 30 interviews and be paid P1,500. Each faculty member will conduct 25 interviews and be paid P2,000. Due to limited transportation facilities, no more than 20 interviewers can be hired. How many undergraduate students, graduate students and faculty members should be hired in order to maximize the number of interviews that will be conducted. What is the maximum number of interviews? *(Let x be the number of college students to be hired, y the number of graduate students to be hired. z the number of faculty members to be hired and I the number of…
Chapter 13 Solutions
Connect Math hosted by ALEKS Access Card 52 Weeks for Math in Our World
Ch. 13.1 - The Student Activities Committee at Camden College...Ch. 13.1 - An election was held for the chairperson of the...Ch. 13.1 - Prob. 3TTOCh. 13.1 - Prob. 1ECh. 13.1 - Prob. 2ECh. 13.1 - Prob. 3ECh. 13.1 - Explain the head-to head comparison criterion.Ch. 13.1 - Prob. 5ECh. 13.1 - Prob. 6ECh. 13.1 - Prob. 7E
Ch. 13.1 - Prob. 8ECh. 13.1 - Prob. 9ECh. 13.1 - Prob. 10ECh. 13.1 - Prob. 11ECh. 13.1 - Prob. 12ECh. 13.1 - Using the election results given in Exercise 9,...Ch. 13.1 - Prob. 14ECh. 13.1 - Prob. 15ECh. 13.1 - Using the election results given in Exercise 12,...Ch. 13.1 - Using the Internet as a resource, look up the...Ch. 13.1 - Suppose that an election has seven candidates, and...Ch. 13.1 - Prob. 19ECh. 13.1 - Prob. 20ECh. 13.1 - Prob. 21ECh. 13.1 - Prob. 22ECh. 13.1 - Prob. 23ECh. 13.1 - Prob. 24ECh. 13.1 - Prob. 25ECh. 13.1 - Prob. 26ECh. 13.2 - Prob. 1TTOCh. 13.2 - Prob. 2TTOCh. 13.2 - Prob. 3TTOCh. 13.2 - If the one voter who listed softball last in the...Ch. 13.2 - Prob. 1ECh. 13.2 - Prob. 2ECh. 13.2 - Prob. 3ECh. 13.2 - Prob. 4ECh. 13.2 - Prob. 5ECh. 13.2 - Can a candidate that gets the least first-place...Ch. 13.2 - A gaming club holds a vote to decide what type of...Ch. 13.2 - The McKees Point Yacht Club Board of Directors...Ch. 13.2 - Prob. 9ECh. 13.2 - A local police union is holding an election for a...Ch. 13.2 - Students at a college were asked to rank three...Ch. 13.2 - Prob. 12ECh. 13.2 - Prob. 13ECh. 13.2 - Prob. 14ECh. 13.2 - Prob. 15ECh. 13.2 - Prob. 16ECh. 13.2 - Prob. 17ECh. 13.2 - Does the election in Exercise 12 violate the...Ch. 13.2 - An English department is voting for a new...Ch. 13.2 - The Association of Self-Employed Working Persons...Ch. 13.2 - Prob. 21ECh. 13.2 - Prob. 22ECh. 13.2 - Suppose that all 4 voters from the last column of...Ch. 13.2 - Suppose that 2 of the 4 voters from the second...Ch. 13.2 - If 2 of the voters from column 1 in Exercise 21...Ch. 13.2 - If the 3 voters in column 4 in Exercise 22 change...Ch. 13.2 - Construct a preference table for an election...Ch. 13.2 - Construct a preference table for an election...Ch. 13.2 - Construct a preference table for an election so...Ch. 13.2 - If the candidates on a preference ballot are...Ch. 13.2 - If the candidates on a preference ballot are...Ch. 13.2 - In an election with four candidates, how many...Ch. 13.2 - Based on your answers to Exercise 32, explain why...Ch. 13.2 - One way to avoid the issue described in Exercises...Ch. 13.2 - Lets talk about a modified Borda count method....Ch. 13.3 - Prob. 1TTOCh. 13.3 - Prob. 2TTOCh. 13.3 - Does the election in Try This One 2 violate the...Ch. 13.3 - Prob. 4TTOCh. 13.3 - Explain how to determine the winner of an election...Ch. 13.3 - Prob. 2ECh. 13.3 - Describe Arrows impossibility theorem. How is it...Ch. 13.3 - Prob. 4ECh. 13.3 - Prob. 5ECh. 13.3 - Which of the five voting methods we studied do you...Ch. 13.3 - If all of the voters in an approval voting...Ch. 13.3 - Fill in the table below, which summarizes our five...Ch. 13.3 - Prob. 9ECh. 13.3 - Prob. 10ECh. 13.3 - Prob. 11ECh. 13.3 - Prob. 12ECh. 13.3 - Prob. 13ECh. 13.3 - Prob. 14ECh. 13.3 - Prob. 15ECh. 13.3 - Prob. 16ECh. 13.3 - The McKees Point Yacht Club Board of Directors...Ch. 13.3 - The students in Dr. Lees math class are asked to...Ch. 13.3 - If Professor Donovan was unable to serve as...Ch. 13.3 - If the travel company from Exercise 14 loses its...Ch. 13.3 - If the West Oak Golf Club is unavailable and the...Ch. 13.3 - If a room for Dr. Lees final exam was not...Ch. 13.3 - A sports committee of students needs to choose a...Ch. 13.3 - Prob. 24ECh. 13.3 - Prob. 25ECh. 13.3 - Prob. 26ECh. 13.3 - Prob. 27ECh. 13.3 - Prob. 28ECh. 13.3 - Prob. 29ECh. 13.3 - Construct a preference table so that one candidate...Ch. 13.3 - Prob. 31ECh. 13.3 - Prob. 32ECh. 13.3 - Prob. 33ECh. 13.3 - Evaluate each voting method we studied if there...Ch. 13.3 - Suppose that in an election for city council,...Ch. 13.3 - Prob. 36ECh. 13.3 - Devise a method for breaking ties when using...Ch. 13.3 - Prob. 38ECh. 13.4 - Prob. 1TTOCh. 13.4 - Prob. 2TTOCh. 13.4 - Prob. 3TTOCh. 13.4 - Prob. 4TTOCh. 13.4 - Prob. 5TTOCh. 13.4 - Assign the 30 seats from Try This One 5 using...Ch. 13.4 - Prob. 7TTOCh. 13.4 - Prob. 8TTOCh. 13.4 - Prob. 1ECh. 13.4 - Prob. 2ECh. 13.4 - Prob. 3ECh. 13.4 - Describe how to find the upper and lower quotas...Ch. 13.4 - Prob. 5ECh. 13.4 - Prob. 6ECh. 13.4 - Prob. 7ECh. 13.4 - Prob. 8ECh. 13.4 - Prob. 9ECh. 13.4 - Prob. 10ECh. 13.4 - In Exercises 912, find the standard divisor for...Ch. 13.4 - Prob. 12ECh. 13.4 - Prob. 13ECh. 13.4 - Prob. 14ECh. 13.4 - Prob. 15ECh. 13.4 - Prob. 16ECh. 13.4 - Prob. 17ECh. 13.4 - Prob. 18ECh. 13.4 - Prob. 19ECh. 13.4 - Prob. 20ECh. 13.4 - Prob. 21ECh. 13.4 - Prob. 22ECh. 13.4 - Prob. 23ECh. 13.4 - Prob. 24ECh. 13.4 - Prob. 25ECh. 13.4 - For Exercises 2628 find: (a)The standard divisor....Ch. 13.4 - Prob. 27ECh. 13.4 - Prob. 28ECh. 13.4 - Prob. 29ECh. 13.4 - Prob. 30ECh. 13.4 - Prob. 31ECh. 13.4 - Prob. 32ECh. 13.4 - Prob. 33ECh. 13.4 - Prob. 34ECh. 13.4 - Prob. 35ECh. 13.4 - Prob. 36ECh. 13.4 - Prob. 37ECh. 13.4 - Prob. 38ECh. 13.4 - Prob. 39ECh. 13.4 - Prob. 40ECh. 13.4 - Prob. 41ECh. 13.4 - Prob. 42ECh. 13.4 - Prob. 43ECh. 13.5 - A large company decided to donate 17 computers to...Ch. 13.5 - Prob. 2TTOCh. 13.5 - Prob. 3TTOCh. 13.5 - Prob. 1ECh. 13.5 - Prob. 2ECh. 13.5 - Prob. 3ECh. 13.5 - Prob. 4ECh. 13.5 - What is the quota rule? Which apportionment...Ch. 13.5 - Prob. 6ECh. 13.5 - Prob. 7ECh. 13.5 - Prob. 8ECh. 13.5 - Prob. 9ECh. 13.5 - Prob. 10ECh. 13.5 - Prob. 11ECh. 13.5 - Prob. 12ECh. 13.5 - The table shows the enrollment at two campuses of...Ch. 13.5 - Prob. 14ECh. 13.5 - Prob. 15ECh. 13.5 - Prob. 16ECh. 13.5 - Write an essay explaining why many people feel...Ch. 13 - Use this information for Exercises 14: the...Ch. 13 - Use this information for Exercises 14: the...Ch. 13 - Use this information for Exercises 14: the...Ch. 13 - Prob. 4RECh. 13 - Prob. 5RECh. 13 - Prob. 6RECh. 13 - Prob. 7RECh. 13 - Prob. 8RECh. 13 - Prob. 9RECh. 13 - Prob. 10RECh. 13 - Prob. 11RECh. 13 - Prob. 12RECh. 13 - Prob. 13RECh. 13 - Prob. 14RECh. 13 - Use this information for Exercises 917: a large...Ch. 13 - Prob. 16RECh. 13 - Use this information for Exercises 917: a large...Ch. 13 - Prob. 18RECh. 13 - Prob. 19RECh. 13 - Prob. 20RECh. 13 - Prob. 21RECh. 13 - Prob. 22RECh. 13 - Prob. 23RECh. 13 - Prob. 24RECh. 13 - Prob. 25RECh. 13 - Prob. 26RECh. 13 - Prob. 27RECh. 13 - Prob. 28RECh. 13 - Prob. 29RECh. 13 - A community college bought 15 laptop computers to...Ch. 13 - Prob. 31RECh. 13 - Prob. 32RECh. 13 - Prob. 33RECh. 13 - Prob. 34RECh. 13 - Prob. 35RECh. 13 - Repeat exercise 30 using the Huntington-Hill...Ch. 13 - Prob. 37RECh. 13 - Prob. 38RECh. 13 - Prob. 39RECh. 13 - Prob. 40RECh. 13 - Prob. 41RECh. 13 - Prob. 42RECh. 13 - Prob. 43RECh. 13 - Prob. 1CTCh. 13 - Prob. 2CTCh. 13 - Prob. 3CTCh. 13 - Prob. 4CTCh. 13 - Prob. 5CTCh. 13 - Prob. 6CTCh. 13 - Prob. 7CTCh. 13 - Prob. 8CTCh. 13 - Use this information for Exercises 512: a small...Ch. 13 - Prob. 10CTCh. 13 - Prob. 11CTCh. 13 - Prob. 12CTCh. 13 - Prob. 13CTCh. 13 - An airline offers nonstop flights from Fort...Ch. 13 - Prob. 15CTCh. 13 - Repeat Problem 14 using Websters method.Ch. 13 - Repeat Problem 14 using the Huntington-Hill...Ch. 13 - Prob. 18CTCh. 13 - Prob. 19CTCh. 13 - Prob. 20CTCh. 13 - Prob. 21CT
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
- A telecommunication company proposed construction of a cell site tower in a certain city. To determine whether this is to be constructed, a vote is to be taken among the residents of a city and the surrounding barangays. Many residents in the barangays feel that the proposal will pass because of the large proportion of city voters who favor the construction. A poll is taken to determine if there is a significant difference in the proportion of city voters and barangay voters favoring the proposal. If 250 of 400 city voters favor the proposal and 360 of 500 barangay residents favor it, would you agree that the proportion of city voters favoring the proposal is higher than the proportion of barangay voters? Use a 0.025 level of significance.arrow_forwardA vote is to be taken among the residents of a town and the surrounding county to determine whether a proposed chemical plant should be constructed. The construction site is within the town limits, and for this reason many voters in the county believe that the proposal will pass because of the large proportion of town voters who favor the construction. To determine if there is a significant difference in the proportions of town voters and county voters favoring the proposal, a poll is taken. If 120 out of 200 town voters favor the proposal and 240 out of 500 county voters favor it, would you agree that the proportion of town voters favoring the proposal is higher than the proportion of county voters? Use an alpha = 0.01 level of significance.arrow_forwardplease help me with this question ASAParrow_forward
- Union shop steward B. Lou Khollar has drafted a set of wage and benefit demands to be presented to management. To get an idea of worker support for the package he randomly polls two largest groups of workers at his plant, machinists (M) and the inspectors (I). He polls 30 of each group with the following results? Opinion package Machnist Inspector Strongly support 9 10 Mildly support 11 3 Undecided 2 2 Mildly oppose 4 8 Strongly oppose 4 7 Total 30 30 What is the probability that a machinist randomly selected from the polled group mildly supports the package? What is the probability that an inspector randomly selected from the polled group is undecided about the package? What is the probability (M or I) randomly selected from the polled group strongly or mildly supports the package? What types of probability estimates are these?arrow_forwardSuppose you try to conduct a presidential approval poll of 5,000 likely U.S. voters. You know that 25% of the voters are registered as Republican, 31% are registered as Democrat, and 42% are registered as Independent. If you are going to construct a representative sample of this population, approximately how many of the likely voters in the sample should be: a. Republican b. Democrat c. Independent d. Notice the sum of the percents is not 100. What could account for this?arrow_forwardThe Las Vegas Review-Journal (R-J) posts an article on their website reporting on a poll they conducted for the upcoming Senate election. Their poll asked likely Nevada voters who they intend to vote for. The results were: Catherine Cortez Masto with 45%, Adam Laxalt with 41%, 14% undecided, and they report that their poll has a +/- 3.5 percentage point margin of error. The article's headline is "Cortez-Masto Leads Laxalt by 4 Points." Is the R-J right? That is, can we be reasonably sure (95% confident) that Cortez-Masto really is ahead of Laxalt? if we had the raw data we could just load it into R and do a quick difference of means test, but we don't need the actual data to figure it out in this case. In your answer, address the following: (1) Is the R-J probably right that Cortez-Masto leads Laxalt? (2) how you came to that conclusion?arrow_forward
- A poll was taken of 208 students at a commuter campus to find out how they got to campus. How many used none of the mentioned means of transportation? The results of the poll were: 40 said they drove alone. 36 rode in a carpool. 40 rode public transportation. 5 used both carpools and public transportation. 10 used both a carpool and sometimes their own cars. 10 used buses as well as their own cars. 5 used all three methods.arrow_forwardIn advance of the 1936 Presidential Election, a magazine titled Literary Digest released the results of an opinion poll predicting that the republican candidate Alf Landon would win by a large margin. The magazine sent post cards to approximately 10,000,000 prospective voters. These prospective voters were selected from the subscription list of the magazine, from automobile registration lists, from phone lists, and from club membership lists. Approximately 2,300,000 people returned the postcards. Think about the state of the United States in 1936. Explain why a sample chosen from magazine subscription lists, automobile registration lists, phone books, and club membership lists was not representative of the population of the United States at that time. What effect does the low response rate have on the reliability of the sample? Are these problems examples of sampling error or nonsampling error? During the same year, George Gallup conducted his own poll of 30,000 prospective…arrow_forwardProblem solving: Vale conducted a study to determine the preference of students during online classes. From the 250 students who participated in the study, 85 wanted to have synchronous classes, 90 wanted to have asynchronous classes, and 100 wanted to have blended learning. From the respondents, it was seen that 35 preferred either synchronous and asynchronous, 10 preferred synchronous and blended learning, 25 preferred blended learning and asynchronous, and exactly 55 liked two of the mode of learning. a. How many students liked synchronous, asynchronous, and blended learning? b. How many students liked synchronous learning, but did not preferred asynchronous or blended learning? c. How many students did not like either of the three modes of learning? d. Draw the initial and final Venn diagram.arrow_forward
- Suppose you try to conduct a presidential approval poll of 10,000 likely U.S. voters. You know that 44% of the voters are registered with the Independent party, 28% are registered with the Reform party and 23% are registered with the Green party. If you are going to construct a representative sample of this population, approximately how many of the likely voters in the sample should be Green party?arrow_forwardIn order to determine how American undergraduate college students feel about eliminating spring break in order to finish spring term a week early, a survey was conducted. 200 undergraduate students from the University of Miami (FL) were interviewed. Both of the interviewers hired to conduct the survey were told to interview 25 freshmen, 25 sophomores, 25 juniors, and 25 seniors. Of the 200 students interviewed, 20% were in favor of the elimination of spring break, 70% were opposed, and 10% had no opinion.The results of this survey are unreliable primarily because of both sample (selection) bias and non-response bias. the absence of a control group. sample (selection) bias only. nonresponse bias only. None of the abovearrow_forwardWe are in the middle of the election season with some states still having their state elections and voting for the Democratic nominee. However, since Bernie Sanders dropped out of the race, Joe Biden has become the presumptive Democratic nominee who will run against Donald Trump for the presidency in November. A recent poll from a national university was conducted by telephone with 754 registered voters from March 18 to 22, 2020. One of the questions they asked was: If the election for President was today, would you vote for … Donald Trump the Republican or Joe Biden the Democrat? [NAMES WERE ROTATED] [If UNDECIDED: If you had to vote for one of the following candidates at this moment, who do you lean toward – Donald Trump or Joe Biden?] Create confidence intervals for the percentage of registered voters who will vote for Biden and for Trump, respectively. You should have two separate confidence intervals, one for each of them. A news report citing this poll…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education
Discrete Mathematics and Its Applications ( 8th I...
Math
ISBN:9781259676512
Author:Kenneth H Rosen
Publisher:McGraw-Hill Education
Mathematics for Elementary Teachers with Activiti...
Math
ISBN:9780134392790
Author:Beckmann, Sybilla
Publisher:PEARSON
Thinking Mathematically (7th Edition)
Math
ISBN:9780134683713
Author:Robert F. Blitzer
Publisher:PEARSON
Discrete Mathematics With Applications
Math
ISBN:9781337694193
Author:EPP, Susanna S.
Publisher:Cengage Learning,
Pathways To Math Literacy (looseleaf)
Math
ISBN:9781259985607
Author:David Sobecki Professor, Brian A. Mercer
Publisher:McGraw-Hill Education
Statistics 4.1 Point Estimators; Author: Dr. Jack L. Jackson II;https://www.youtube.com/watch?v=2MrI0J8XCEE;License: Standard YouTube License, CC-BY
Statistics 101: Point Estimators; Author: Brandon Foltz;https://www.youtube.com/watch?v=4v41z3HwLaM;License: Standard YouTube License, CC-BY
Central limit theorem; Author: 365 Data Science;https://www.youtube.com/watch?v=b5xQmk9veZ4;License: Standard YouTube License, CC-BY
Point Estimate Definition & Example; Author: Prof. Essa;https://www.youtube.com/watch?v=OTVwtvQmSn0;License: Standard Youtube License
Point Estimation; Author: Vamsidhar Ambatipudi;https://www.youtube.com/watch?v=flqhlM2bZWc;License: Standard Youtube License