Concept explainers
Find the Banzhaf power distribution of a weighted voting system with four players in which the winning coalitions (with critical players underlined) are
Want to see the full answer?
Check out a sample textbook solutionChapter 2 Solutions
MYMATHLAB ACCESS F/MGF 1107
- A club has 20 male and 80 female members. If a committee of 20 is being formed by random selection, what is the best method of sampling to use to ensure that there is a proportional representation of males and females in the club. Self- selective sample Stratified random sample Systematic sample Simple random samplearrow_forward. People in a city are going to vote for one of the three candidates A, B, and C in the next election. In a random sample of 100 people from this city 35 voted for A, 28 voted for B, and the rest voted for C. Perform a significance test and indicate if there is any preferences in the next election for these candidates.arrow_forwardA researcher randomly selected 500 patients in a doctors office and found that 90% of these patients had health insurance. The results of this study, if applied to all residents, are questionable because of: a) selection bias b) response bias c) lack of accuracy d) nonreponse biasarrow_forward
- A poll is taken in which 349 out of 575 randomly selected voters indicated their preference for a certain candidate.arrow_forwardBased on a survey, 33% of likely voters would be willing to vote by internet instead of the in-person traditional method of voting. For each of the following, assume that 12 likely voters are randomly selected.. If 9 of the selected voters would do internet voting, is 9 significantly high? Why or why not?arrow_forwardUsing the Shapley-Shubik Power Distribution and the weighted voting system [10: 7, 4, 3], what is the value of the power index for player 1 (what is σ1)?arrow_forward
- A researcher would like to determine the political preference of the nationbefore the upcoming midterm elections. From where should the researchercollect his/her data? A. From all the voting population in the nation.B. From a sample of people living in one region.C. From a sample of people randomly chosen across the nation.D. From all the people in a randomly selected region.arrow_forwardAn airline company uses a random selection method to select who boards first, second, etc. for its small planes. If there are 20 people who need to be boarded, how many different ways can the first three be selected?arrow_forwardA researcher wanted to measure if the voting preferences between the brand of soaps are the different using 5% level of significance. Assume the data is normally distributed.arrow_forward
- A survey of students living in a high-rise residence is to be conducted. The residence has 10 floors, 20 rooms per floor, and 2 people per room. What type of sampling method is used if 2 floors are randomly selected and every student on each of those floors is surveyed?arrow_forwardIf you have a study in which 40 participants are randomly assigned to one of the four groups, the dfbetween =arrow_forwardA company studies the product preferences of 20,000 consumers. It was found that each of the products A, B and C was liked by 7500, 6500 and 5500 respectively and all the products were liked by 1230. Products A and B were liked by 2500, products A and C were liked by 2300 and products B and C were liked by 2530. Prove that the study results are not correct.arrow_forward
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL