1. Calculate the Banzhaf Power Distribution In 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 vote The 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].
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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.One study of grand juries in Alameda County, California, compared the demographic characteristics of jurors with the general population, to see if the jury panels were representative.8 The results for age are shown below. The investigators wanted to know whether these 66 jurors were selected at random from the population of Alameda County. (Only persons 21 and over are considered; the county age distribution is known from Public Health Department data.) Note: ANSWER EACH PART OF QUFill out the last column below. All of your answers hould be accurate to the tenth digit, for example 4.8. Age County-wide percentage number of jurors expected number of jurors 21 to 40 42 5 [A] 41 to 50 23 9 [B] 51 to 60 16 19 [C] 61 and over 19 33 [D] total 100 66 The value of χ2 is [E]. Your answer should be an integer with no decimals. The degrees of freedom is [F]. Check that the p-value is essentially zero from the table. (True or False) With simple random…10
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- 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?Answer the following: 1) Six hundred thirty people responded to their preferences of four dance groups in a dance contests, using 1 for their favorite and 4 for their least favorite. Results of the text votes were tallied below. Who would win the contest using the a) plurality voting system? b) plurality with elimination method of voting? c) Borda count method of voting? d) pairwise comparison voting method?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.
- 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.The city of Raleigh has 11000 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 450 randomly selected registered voters was conducted. 165 said they'd vote for Brown, 243 said they'd vote for Feliz, and 42 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 11000 registered voters to vote for Brown. Please answer fast i give upvoteThe city of Raleigh has 10500 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 500 randomly selected registered voters was conducted. 158 said they'd vote for Brown, 293 said they'd vote for Feliz, and 49 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.