the candidates are from the same party
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- Will play a two-player game, for which we say the numbers from 1 up to 25 in increasing order without skipping any number. One player can say one, two, three or four numbers per turn before the next player's turn which can do the same thing. The game continues and the one who say the number "25" loses the game. Is it better to be the first player or the second player? What is the winning strategy if there's anyLeadership positions for a college social club are up for election. Three people are needed to fill the positions of president, vice president, and secretary. Only 10 members are willing to serve in these positions. Each candidate is eligible for each position, and a candidate can only hold one leadership position. How many different ways can the three positions be filled using the 10 possible candidates?Michael wants to know if support for a local referendum on gay rights is related to political party affiliation. He conducts a survey of 200 local residents and asks them their political party affiliation and whether they intend to vote for or against the referendum. He learns that 16 people who say they are republican are for the referendum and 54 are against. Of those who say they are democrat, 72 people are for the referendum and 28 are against it. Some people identified as “other” and among that group, 3 were against the referendum and 27 were in favor of it. 1. Conduct the appropriate analysis with α=.05. 2. What should Michael conclude?
- Two construction companies, Giant and Sky, bid for the right to build in a field. The possible bids are $ 10 Million, $ 20 Million, $ 30 Million, S 35 Million and S 40 Million. The winner is the company with the higher bid. The two companies decide that in the case of a tie (equal bids), Giant is the winner and will get the field. Giant has ordered a survey and, based on the report from the survey, 1 concludes that getting the field for more than $ 35 Million is as bad as not getting it (assume loss), except in case of a tie (assume win) Sky is not aware of this survey. (a) State reasons why/how this game can be described as a two-players zero-sum game [A movie production company is releasing a movie with the hopes that many viewers will return to see the movie in the theater for a second time. Their target is to have 30 million viewers, and they want more than 30% of the viewers to want to see the movie again. They show the movie to a test audience of 175 people, and after the movie they asked them if they would see the movie in theaters again. Of the test audience, 65 people said they would see the movie again. a. Specify the competing hypotheses to test if more than 30% of the viewers will return to see the movie again. Ho: 0.3; versus HA b-1. Calculate the value of the test statistic. Note: Round final answer to 2 decimal places. Test statistic b-2. Find the p-value. O 0.025 s p-value < 0.05 O 0.05 s p-value < 0.10 O p-value ≥ 0.10 O p-value < 0.01 O 0.01 s p-value < 0.025 c. At the 5% significance level, what is the conclusion? ○ Do not reject Ho, the population proportion is greater than 0.30. ○ Do not reject Ho, the population…In 2012 American Idol completed its 11th season withJennifer Lopez, Steven Tyler, and Randy Jackson asjudges. Although the judges express their opinions aboutthe contestants’ performances, viewers vote to keep theirfavorites in the competition. During each episode, hostRyan Seacrest explains how viewers can vote via text,phone call, or online. Nothing prevents a viewer fromsubmitting multiple votes. Each week the contestant with the lowest number of votes is removed from the com-petition. Why are the results not a true depiction of all Americans’ musical preferences?A) Undercoverage biasB) Voluntary response biasC) The judges’ comments influence voters’ opinions.D) Since some voters may vote multiple times, one votedoes not correspond to one person.E) All of the above.
- A large retail lawn care dealer currently provides a 2-year warranty on all lawn mowers sold at its stores. A new employee suggested that the dealer could save money by just not offering the warranty. To evaluate this suggestion, the dealer randomly decides whether or not to offer the warranty to the next 50 customers who enter the store and express an interest in purchasing a lawnmower. Out of the 25 customers offered the warranty, 10 purchased a mower as compared to 4 of 25 not offered the warranty. a. Place a 95% confidence interval on 7₁ - 72, the difference in the proportions of customers purchasing lawnmowers with and without the warranty. b. Test the research hypothesis that offering the warranty will increase the propor- tion of customers who will purchase a mower. Use a = .05. c. Are the conditions for using a large-sample test to answer the question in part (b) satisfied? If not, apply an exact procedure,Find x ∈ Z so that x^3 ≡ 15 (mod 7^4 ). Use the lifting method.After the premiere of the new comedy Bumblebee, moviegoers were asked in a quick poll whether they liked the movie. Out of 20 adults, all but 6 said they liked the movie, whereas out of 50 teenagers, all but 8 said they liked the movie. Fill in the blanks below to make the most reasonable statement possible. At the movie premiere, (Choose one) whereas only % of the (Choose one) moviegoers liked the movie less. That is because % disliked the movie, moviegoers disliked the movie. X 5 ? Check Ⓒ2022 McGraw a shift tab esc ! 1 9 a @ 2 N W S # 3 X e C d $ 4 r C % 5 f acer DIL 6 t V g y & 7 b h u 8 j n 1661 81 00
- Ques 46, 47 and 48 are three subparts.A teacher will randomly award three students with extra credit. How many possible ways can the teacher pick these three students from a class of 20 students?A movie production company is releasing a movie with the hopes that many viewers will return to see the movie in the theater for a second time. Their target is to have 40 million viewers, and they want more than 40% of the viewers to want to see the movie again. They show the movie to a test audience of 150 people, and after the movie they asked them if they would see the movie in theaters again. Of the test audience, 78 people said they would see the movie again. (You may find it useful to reference the z table.) Calculate the value of the test statistic. (Round final answer to 2 decimal places.) test statistic=