Excursions In Modern Mathematics, 9th Edition
9th Edition
ISBN: 9780134494142
Author: Tannenbaum
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 2, Problem 34E
Find the Shapley-Shubik power distribution of each of the following weighted voting systems.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Refer to the weighted voting system [27: 15, 10, 8, 4]. The Banzhaf power distribution of the weighted voting system is:
P1 : ["", "", "", ""]
P2 : ["", "", "", ""]
P3 : ["", "", "", ""]
P4 : ["", "", "", ""]
A teacher has two large containers filled with blue, red, and green beads, and claims the proportion of red beads are the same in each container. The students believe the proportions are different. Each student shakes the first container, selects 50 beads, counts the number of red beads, and returns the beads to the container. The student repeats this process for the second container. One student’s samples contain 13 red beads from the first container and 16 red beads from the second container. Let p1= the true proportion of red beads in container 1 and p2= the true proportion of red beads in container 2. The P-value for this significance test is 0.171. Which of the following is the correct conclusion for this test of the hypotheses level?
The student should reject the null hypothesis since 0.171 > 0.05. There is insufficient evidence that the true proportion of red beads is significantly different between the two containers.
The student should fail to reject the null hypothesis…
Answer the following question accordingly:
Chapter 2 Solutions
Excursions In Modern Mathematics, 9th Edition
Ch. 2 - Five partners (P1,P2,P3,P4, andP5) jointly own the...Ch. 2 - Five partners (P1,P2,P3,P4, andP5) jointly own the...Ch. 2 - Prob. 3ECh. 2 - Prob. 4ECh. 2 - In each of the following weighted voting systems,...Ch. 2 - In each of the following weighted voting systems,...Ch. 2 - Consider the weighted voting system[q:7,5,3]. Find...Ch. 2 - Consider the weighted voting system...Ch. 2 - A committee has four members (P1,P2,P3,andP4). In...Ch. 2 - A committee has six members...
Ch. 2 - Consider the weighted voting system [q:7,5,3]. a....Ch. 2 - Consider the weighted voting system...Ch. 2 - Find the Banzhaf power distribution of a weighted...Ch. 2 - Find the Banzhaf power distribution of a weighted...Ch. 2 - Consider the weighted voting system [10:6,5,4,2]....Ch. 2 - Consider the weighted voting system [5:3,2,1,1]....Ch. 2 - a.Find the Banzhaf power distribution of this...Ch. 2 - a. Find the Banzhaf power distribution of the...Ch. 2 - Consider the weighted voting system [q:5,4,3,2,1]....Ch. 2 - Consider the weighted voting system [q:8,4,2,1]....Ch. 2 - In a weighted voting system with three players the...Ch. 2 - In a weighted voting system with four players the...Ch. 2 - The Nassau County N.Y. Board of Supervisors 1960s...Ch. 2 - The Nassau County N.Y. Board of Supervisors 1960s...Ch. 2 - A law firm is run by four partners (A,B,C,andD)....Ch. 2 - A law firm is run by four partners (A,B,C,andD)....Ch. 2 - Table 2-13 shows the 24 sequential coalitions with...Ch. 2 - Table 2-14 shows the 24 sequential coalitions with...Ch. 2 - Consider the weighted voting system [16:9,8,7]. a....Ch. 2 - Consider the weighted voting system [8:7,6,2]. a....Ch. 2 - Find the Shapley-Shubik power distribution of each...Ch. 2 - Find the Shapley-Shubik power distribution of each...Ch. 2 - Find the Shapley-Shubik power distribution of each...Ch. 2 - Find the Shapley-Shubik power distribution of each...Ch. 2 - In a weighted voting system with three players the...Ch. 2 - In a weighted voting system with three players the...Ch. 2 - Table 2-15 shows the 24 sequential coalitions in a...Ch. 2 - Table 2-16 shows the 24 sequential coalitions in a...Ch. 2 - Let A be a set with 10 elements. a. Find the...Ch. 2 - Prob. 40ECh. 2 - For a weighted voting system with 10 players. a....Ch. 2 - Consider a weighted voting system with 12 players....Ch. 2 - Consider a weighted voting system with six players...Ch. 2 - Consider a weighted voting system with five...Ch. 2 - Use a calculator to compute each of the following....Ch. 2 - Prob. 46ECh. 2 - Prob. 47ECh. 2 - Prob. 48ECh. 2 - The purpose of Exercises 49 and 50 is for you to...Ch. 2 - The purpose of Exercises 49 and 50 is for you to...Ch. 2 - Consider a weighted voting system with seven...Ch. 2 - Consider a weighted voting system with seven...Ch. 2 - A law firm has seven partners: a senior partner...Ch. 2 - A law firm has six partners: a senior partner (P1)...Ch. 2 - Prob. 55ECh. 2 - Prob. 56ECh. 2 - Consider the weighted voting system [q:8,4,1]. a....Ch. 2 - Consider the weighted voting system [9:w,5,2,1]....Ch. 2 - Equivalent voting systems. Two weighted voting...Ch. 2 - Veto power. A player P with weight w is said to...Ch. 2 - Consider the generic weighted voting system...Ch. 2 - Prob. 62ECh. 2 - Prob. 63ECh. 2 - The weighted voting system [27:10,8,6,4,2]...Ch. 2 - Prob. 65ECh. 2 - Mergers. Sometimes in a weighted voting system two...Ch. 2 - a.Verify that the weighted voting systems...Ch. 2 - Prob. 68ECh. 2 - Prob. 69ECh. 2 - Prob. 70ECh. 2 - Prob. 71ECh. 2 - Prob. 72ECh. 2 - Prob. 73ECh. 2 - Prob. 74ECh. 2 - Prob. 75ECh. 2 - Prob. 76ECh. 2 - Prob. 77ECh. 2 - Suppose that in a weighted voting system there is...Ch. 2 - a. Give an example of a weighted voting system...Ch. 2 - a. Explain why in any weighted voting system with...
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 teacher has two large containers filled with blue, red, and green beads, and claims the proportion of red beads is the same in each container. The students believe the proportions are different. Each student shakes the first container, selects 50 beads, counts the number of red beads, and returns the beads to the container. The student repeats this process for the second container. One student’s samples contained 10 red beads from the first container and 16 red beads from the second container. Let p1 = the true proportion of red beads in container 1 and p2 = the true proportion of red beads in container 2. Which of the following are the correct hypotheses to test the students’ claim?arrow_forwardIn a random sample of 1500 voters from the state of New York, 670 identified themselves as Democrats, 580 identified themselves as Republicans, and 250 identified themselves as Independents. Of the Democrats, 495 stated that they disapprove of the current president. The similar numbers for the Republicans and the Independents are 265 and 145, respectively. Let p1 be the proportion of all Democrat and Independent voters in New York who disapprove of the current president, and define p2 similarly for the Republicans. The endpoints of a 95% confidence interval for p1-p2 are closest to which of the following? a. 0.188 to 0.289 b. 0.197 to 0.281 c. 0.235 to 0.329 d. 0.050 to 0.196arrow_forwardA teacher has two large containers filled with blue, red, and green beads, and claims the proportion of red beads is the same for both containers. The students believe the proportions are different. Each student shakes the first container, selects 50 beads, counts the number of red beads, and returns the beads to the container. The student repeats this process for the second container. One student’s samples contained 10 red beads from the first container and 16 red beads from the second container. Let p1= the true proportion of red beads in container 1 and p2= the true proportion of red beads in container 2. Which of the following is the correct standardized test statistic and P-value for the hypotheses,arrow_forward
- The customer service of a phone company is experimenting with two different systems. On Monday, they try the first system which is based on an automated menu system. On tuesday, they try the second system in which each caller is immediately connected with a live agent. A quality control manager selects a sample of seven calls each day. He records the time for each customer to have his or her question answered. The times (in minutes) are listed in the tables. A) Find the coefficient of variation for each of the two sets of data. B) Which data set is more consistent? Automated Menu Live agent 11.7 6.2 7.4 2.9 3.9 4.4 2.9 4.1 9.2 3.4 6.3 5.2 5.5 3.7arrow_forwardFind the Banzhaf power distribution of the weighted voting system [26: 16, 14, 10, 2] Give each player's power as a fraction or decimal value Player 1: Player 2: Player 3: Player 4:arrow_forwardNeed 99% interval for all five countries.arrow_forward
- 2.3. For the profile 7 3 8 4 1 4 3 AABCBBC BCAADC B D D D DADD CBC BCAA who wins an election conducted via the (a) plurality method? (b) Borda count method? (c) Hare method? (d) Copeland method? (e) Coombs method?arrow_forward1. How many Winning Coalitions are there for the weighted voting system below? [ 15:10, 7, 6]arrow_forwardA gardening inspector randomly selects people one be one from a large population until she finds someone who has heard of PL Melons. Let X be the number of selected people who have not heard of PL Melons before the first person who has heard of PL Melons is found. Let Y be the number of selected people who have not heard of PL Melons before the second person who has heard of PL Melons is found. Suppose 27% of the population has heard of PL Melons. a. What is the probability that none of the first four people selected have heard of PL Melons?? b. What is the expected value of X? c. What is the variance of X? d. What is the probability that X = 0? e. What is the probability that X ≤ 4? f. What is the probability that Y = 6? g. What is the probability that Y = 0?arrow_forward
- .Consider the weighted voting system [17: 13, 9, 5, 2]. In the sequential coalition <P3,P2,P1,P4> which player is pivotal?arrow_forward6. Using the plurality with elimination method, who is the candidate to be eliminated in the first round (candidate with the least number of first place votes)?7. Using the plurality with elimination method, who is the candidate to be eliminated in the second round? (these questions only)arrow_forwardChoose the accurate description of the power status in each weighted voting system. (These are the systems in the previous three problems.) [10: 7, 5, 5] [8: 4, 3, 3, 2] [25: 15, 10, 8, 4] answer options p1 has veto power no player has special status p4 is a dummy p1 is a dictatorarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Sequences and Series Introduction; Author: Mario's Math Tutoring;https://www.youtube.com/watch?v=m5Yn4BdpOV0;License: Standard YouTube License, CC-BY
Introduction to sequences; Author: Dr. Trefor Bazett;https://www.youtube.com/watch?v=VG9ft4_dK24;License: Standard YouTube License, CC-BY