Fill in the blank so that the resulting statement is true. If a candidate is favored when compared separately with every other candidate in an election, then that candidate should be declared the winner. This criterion is called the criterion.
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- If a non-winning choice is removed from the ballot, this criterion states that the winner of the election should not change. Monotonicity Criterion Independence of Irrelevant Alternatives (IIA) Criterion Majority Criterion Condorcet CriterionExplain why the Borda count method satisfies the monotonicity criterion. Choose the correct answer below. A. When a voter moves a candidate down in his or her ballot, that candidate's Borda points increase. If X had the most Borda points and a voter changes his or her ballot to rank X lower, then X still has the most Borda points. B. When a voter moves a candidate up in his or her ballot, that candidate's Borda points decrease. If X had the most Borda points and a voter changes his or her ballot to rank X higher, then X still has the least Borda points. C. When a voter moves a candidate up in his or her ballot, that candidate's Borda points increase. If X had the most Borda points and a voter changes his or her ballot to rank X higher, then X still has the most Borda points. D. When a voter removes a candidate from his or her ballot, that candidate's Borda points transfer to the lowest-ranking candidate. If X had the most Borda points and a…A voter who has a weight that is greater than or equal to the quota is called a dictator. In a weighted voting system, the dictator has all the power. A voter who is never a critical voter has no power and is referred to as a dummy. This term is not meant to be a comment on the voter’s intellectual powers; it just indicates that the voter has no ability to influence an election. a. dictators : v1,v2 ; dummies : v2,v3 b. dictator : v1; dummies : v2,v3,v4,v5 c. dictator : v1; dummy : v2 d. The system is not valid.
- voter who has a weight that is greater than or equal to the quota is called a dictator. In a weighted voting system, the dictator has all the power. A voter who is never a critical voter has no power and is referred to as a dummy. This term is not meant to be a comment on the voter's intellectual powers. It just indicates that the voter has no ability to influence an election.Identify any dictator and all dummies for the given weighted voting system. (Select all that apply.) {19: 22, 6, 5, 3, 1} Dictators: the person with 22 votes the person with 6 votes the person with 5 votes the person with 3 votes the person with 1 votes none of these Dummies: the person with 22 votes the person with 6 votes the person with 5 votes the person with 3 votes the person with 1 votes none of theseA voter who has a weight that is greater than or equal to the quota is called a dictator. In a weighted voting system, the dictator has all the power. A voter who is never a critical voter has no power and is referred to as a dummy. This term is not meant to be a comment on the voter's intellectual powers. It just indicates that the voter has no ability to influence an election.Identify any dictator and all dummies for the given weighted voting system. {21: 14, 6, 5, 1} Dictators: the person with 14 votes the person with 6 votes the person with 5 votes the person with 1 vote none of these Dummies the person with 14 votes the person with 6 votes the person with 5 votes the person with 1 vote none of theseSome brands of soda have a bottle cap with a code redeemable for free music downloads. The soda company claims that 1 in 5 bottles of soda is a winner. However based on their experience redeeming codes, a group of students is skeptical of this claim, and believes that fewer than 1 in 5 caps is a winner. A group of students bought 65 bottles of soda to investigate the company’s claim. The students found a total of 11 bottle caps were winners.Suppose it is reasonable to assume that the 65 bottles purchased by the students are a random sample of all the bottles of soda. Based on this sample is there support for the students’ belief that the proportion of winners is less than 1 in 5? Provide statistical evidence to support your answer. If the conclusion you made in part a. is incorrect, what type of error was made? Interpret the p-value from part a. in context.
- A political party sends a mail survey to 1500 randomly selected registered voters in a community. The survey asks respondents to give an opinion about the job performance of the current president. Of the 1500 surveys sent out, 480 are returned, and of these, only 120 show that the respondent is satisfied with the president's job performance. This is an example of: a. a survey with little bias, because an individual will know for certain whether he or she approves of the president's job performance. b. a survey with little bias, because 1500 voters represent an important part of the president's district. c. a survey with no bias. d. None of the answer options is correct. The least-squares regression line is: a. the line that passes through the most data points. b. the line that makes the sum of the squares of the vertical distances of the data points from the line (the sum of squared residuals) as small as possible. c. the line such…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.A chapter of the Sierra Club is voting for president. The candidates are (A)lvaro, (B)rown, (C)lark, and (D)ukevitch. Number of Ballots 4 23 8 3 12 1st preference C D C A A 2nd preference A A B D B 3rd preference B B D B C 4th preference D C A C D Show that Condorcet’s criterion is not satisfied when the Borda count method is used in this case
- Tweet, a quality control engineer of a large computer firm, inspects a large shipment of printed circuit boards (PCBs). The shipment of 1000 PCBs were inspected for defects, such as misplaced components or the application of too much solder paste. Tweet found that 750 of the PCBs have no defects, 100 have one defect each, 75 have two defects each, 50 have three defects each, and the rest have 5 defects each. Let X be the number of defects found in a PCB. What is P(X =2)? Group of answer choicesA recent poll indicates that 48% of all registered voters in America plan to vote for a specific candidate in the upcoming presidential election. Suppose a random sample of 20 Americans is taken. Let X represent the sample count who plan to vote for the candidate. What is P(X≠5)? A polling organization has been hired to conduct a survey to determine the proportion of people who are likely to support an upcoming ballot initiative. To help determine the size of the sample required for the main poll, a preliminary poll of 20 people is taken that yields the results below. (Yes indicates that the person will support the initiative, No indicates that they won't.) No Yes No No Yes No No Yes No No No Yes No Yes Yes No No Yes Yes Yes No Yes No No No Yes No No Yes Yes No No No Yes Yes No Yes Yes No Yes Based on the results of the peliminary poll, how large a sample is required for the main poll, assuming that the main poll should have a margin of error of 3.1% and a confidence level of 96.5%.