Help me solve these with explanation. Topic: Mathematics for Power 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].

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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 8E

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The General Social Survey (GSS) is an opinion survey that has been conducted for more than 30 years by the National Opinion Research Center at the University of Chicago. About 2000 adult Americans are given a 90-minute interview asking about opinions and behaviors for a wide variety of issues. To access the GSS website, go to sda.berkeley.edu/GSS using No Weight as the default weight selection. 1. Americans were asked: Is it the government's responsibility to impose strict laws to make industry do less damage to the environment? Results from both 1996 and 2006 can be found in the GSS. Type GRNLAWS in Row: and YEAR in Column: then Run the table. a) Use StatCrunch and the 2006 data to create a 90% confidence interval for the true proportion of all Americans answering 'definitely should be' to this question. Include a check of the necessary conditions in your answer. Copy and paste the output from StatCrunch. Interpret your interval in context. b) c) Can you conclude whether a majority of…
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
The Dean, Mr.Gregor is interested in the overall performance of the students in the academic year 2020/2021. There were 1460 students registered for this academic year. The Dean decides to select a sample of 150 students from each of the 5 faculties- Science, Medicine, Law, Social Science and Humanities in proportion to the number of students in each faculty. a) Identify the population of interest for this scenario. b) Identify the sampling technique used by the researcher. c) State one advantage and one disadvantage of the sampling technique described in the given scenario. d) If the medical faculty has 584 students registered, calculate how many medical students would be part of the sample of 150.
10
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…
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…
A school principal wants to determine which type of speaker the ștudents prefer to invite to an assembly for the entire student population. Which survey method would produce the best representative sample? A survey every fifth person who shops at a mall B survey all of the students on the student .council C survey every tenth student entering the school one morning. D survey all of the students who went to the last basketball game
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 upvote
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.
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 7100 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 400 randomly selected registered voters was conducted. 213 said they'd vote for Brown, 170 said they'd vote for Feliz, and 17 were undecided. i) What is the sample statistic for the proportion of voters surveyed who said they'd vote for Brown? Note: (Enter your answer as a decimal rounded to 4 places if necessary)

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