Calculate 1. Calculate the Banzhaf Power DistributionIn a sports team selection committee, the voting weights are distributed as follows:• Team Captain (P1): 5 votes⚫Head Coach (P2): 3 votes• Assistant Coach (P3): 2 votes• Medical Staff Representative (P4): 1 voteThe total number of votes is 11, and a simple majority of 6 votes is required to approve a new player signing. This can be represented as the weighted voting system [6: 5, 3, 2, 1].

We have a sports team selection committee with the following voting weights:Team Captain (P1): 5…

Answered: 1. Calculate the Banzhaf Power…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 6E

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7. A researcher reviewing various cellular phone services surveyed 200 customers and asked each one to rank four service providers in order of preference. The group's results are shown below. Using the Borda count method, which provider is the favorite of these customers? RANKING SMART 4 1 GLOBE SUN 4 4 TALK N TEXT No. of votes: 26 32 47 25 56 35 2. 4, 1. 3. 3. 2. 4) 2. 2. 3. 4. 2. 1. 3. 2. 1. 3. 1. 3.
2. Six candidates, Sophia, Mark, John, Jenny, Mike and Sky were nominated for Chairman position in an organization. After the polls close, ranked ballots were tallied, and the results are summarized below. a. What percent of the votes did the winner receive? b. Determine the winner using plurality with elimination, Borda Count and pairwise comparative methods of voting. Rankings Sophia 16325 Mark 65633 John 34516 Jenny 52444 Mike 23162 Sky 41251 Number of Votes 28 12 25 30 25
The librarian at a public library wants to determine what proportion of the library users are children. The librarianhas a tally sheet on which she marks whether books are checked out by an adult or a child. She records this datafor every fourth patron who checks out books.e. A political party wants to know the reaction of voters to a debate between the candidates. The day after the debate,the party’s polling staff calls 1,200 randomly selected phone numbers. If a registered voter answers the phone oris available to come to the phone, that registered voter is asked whom he or she intends to vote for and whetherthe debate changed his or her opinion of the candidates.
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A political advisor wants to assess the voter appeal of three candidates, A, B, and C. Twelve voters were asked to watch a 10-minute video speech by each candidate, after which the voters rated each candidate on such factors as appearance, clarity of expression, voice, and overall impression. A final score on a 20-point scale was given to each candidate. Each voter first listened to Candidate A, then Candidate B, then Candidate C. The results are shown below. Voter Candidate A Candidate B Candidate C 1 18 14 18 2 17 15 17 3 19 16 15 17 17 16 5 18 13 17 6 15 15 14 17 14 15 8 16 12 17 9 16 16 14 10 17 15 18 11 15 16 15 12 19 17 16 (a) Which of the following is a correct description of the experimental units? the 10-minute video speech by candidates A, B, and C O the pool of all potential voters O the 12 voters used in this study O the rating of a candidate on a scale of 0 to 20 (b) Which of the following is a correct description of the treatments? O the 10-minute video speech by…
Sample for a Poll There are 15,524,971 adults in Florida. If The Gallup organization randomly selects 1068 adults without replacement, are the selections independent or dependent? If the selections are dependent, can they be treated as being independent for the purposes of calculations?
Suppose a state has 10 representatives and a population of 14 million; party affiliations are 40% Republican and 60% Democrat. a. If districts were drawn randomly, what would be the most likely distribution of House seats? b.lf the districts could be drawn without restriction (unlimited gerrymandering), what would be the maximum and minimum number of Republican representatives who could be sent to Congress? a. What would be the most likely distribution of House seats? Republicans, Democrats Wen b. The maximum number of Republicans representatives could be The minimum number of Republicans representatives could be
5. The city of Bunkie has 1200 registered voters. There are two candidates for alderman in an upcoming election: Anderson and Baker. The day before the election, a telephone poll of 300 randomly selected registered voters was conducted. 159 said they would vote for Anderson, 112 for Baker, and 29 were undecided. a. Give the sample statistic for the proportion of voters surveyed who said they would vote for Anderson. The answer needs to be in fractional or decimal form. b. How many of the 1200 registered voters might we expect to vote for Anderson?
The city of Raleigh has 6,000 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 350 randomly selected registered voters was conducted. 151 said they'd vote for Brown, 191 said they'd vote for Feliz, and 8 were undecided.Use this information from the sample to complete the following statements about the population of all registered voters in Raleigh. Round your answers to the nearest person.Based on this sample, we could expect _____ of the 6,000 registered voters to vote for Brown. Based on this sample, we could expect _____ of the 6,000 registered voters to vote for Feliz. Based on this sample, _____ of the 6,000 registered voters are still undecided.
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 journalist reviewing various cellular phone services surveyed 200 customers and asked each one to rank four service providers in order of preference. The group’s results are shown below. RANKINGS Red and White 3 4 2 3 4 Sprint PCS 1 1 4 4 3 Cingular 2 2 1 2 1 Nextel 4 3 3 1 2 No. of Votes 18 38 42 63 39 Using plurality with elimination, which provider is the favorite of these customers?
The city of Raleigh has 6900 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 600 randomly selected registered voters was conducted. 328 said they'd vote for Brown, 252 said they'd vote for Feliz, and 20 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 6900 registered voters to vote for Brown.

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