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Political Polls: Morris Polling conducted a poll 6 months before an election in a state in which a Democrat and a Republican were running for governor and found that
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Finite Mathematics for the Managerial, Life, and Social Sciences-Custom Edition
- Among students at a nearby college, the proportion who say they're interested in their congressional district's election results has traditionally been 70%. After a series of lackluster debates on campus, a political scientist claims that the proportion, p, of students at the college who say they're interested in their district's election results is now less than 70%. A poll is commissioned, and 128 out of a random sample of 205 students at the college say they're interested in their district's election results. Is there enough evidence to support the political scientist's daim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H.. Ho :0 合 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO (c)…arrow_forwardAmong students at a nearby college, the proportion who say they're interested in their congressional district's election results has traditionally been 70%. After a series of lackluster debates on campus, a political scientist claims that the proportion, p, of students at the college who say they're Interested in their district's election results is now less than 70%. A poll is commissioned, and 126 out of a random sample of 205 students at the college say they're interested in their district's election results. Is there enough evidence to support the political scientist's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H.. H, :0 合 文 H, :0 (b) Determine the type of test statistic to use. D=0 OSO (Choose one) ▼…arrow_forwardIn a US presidential election, the incumbent president wins with 51.5% of the vote to 48.2% for the primary challenger (and .3% to others). In a nationwide telephone poll of 1000 people conducted exactly one week before the election by a university polling group, 49% of people polled supported the incumbent president, 50% supported the challenger, and 1% supported other candidates. a. For the polling study, what was the population of interest? b. What was the sample? c. Why did the sample results differ from the population? d. What are two constants that might have limited the generalizability of the polling results?arrow_forward
- In a survey of 1,000 adult Americans, 46.3% indicated that they were somewhat interested or very interested in having web access in their cars. Suppose that the marketing manager of a car manufacturer claims that the 46.3% is based only on a sample and that 46.3% is close to half, so there is no reason to believe that the proportion of all adult Americans who want car web access is less than 0.50. Is the marketing manager correct in his claim? Provide statistical evidence to support your answer. For purposes of this exercise, assume that the sample can be considered representative of adult Americans. Test the relevant hypotheses using a = 0.05. State the appropriate null and alternative hypotheses. O Ho: p + 0.50 versus H: p = 0.50 = 0.50 versus H.: p 0.50 O Ho: p = 0.50 versus H : p= 0.50 O Ho: P = 0.50 versus H: p > 0.50 Find the test statistic and P-value. (Use a table or technology.) z = P-value = State the conclusion in the problem context. Reject Ho. We do not have convincing…arrow_forwardA poll tracks the favorite sport of Americans who follow at least one sport. Results of the poll show that professional football is the favorite sport of 33% of Americans who follow at least one sport, followed by baseball at 15%, men's college football at 10%, auto racing at 6%, men's professional basketball at 5%, and ice hockey at 5%, with other sport at 26%. Consider a survey in which 344 college undergraduates who follow at least one sport were asked to identify their favorite sport produced the following results: Professional Football 113 Baseball 38 Men's College Football 47 Auto Racing 12 Men's Professional Basketball 8 Ice Other Hockey Sports Find the p-value. (Round your answer to four decimal places.) p-value = 19 107 Do college undergraduate students differ from the general public with regard to their favorite sports? Use α = 0.05. State the null and alternative hypotheses. O Ho: Undergraduate students do not differ from the general public with regard to their favorite…arrow_forwardA poll tracks the favorite sport of Americans who follow at least one sport. Results of the poll show that professional football is the favorite sport of 33% of Americans who follow at least one sport, followed by baseball at 15%, men's college football at 10%, auto racing at 6%, men's professional basketball at 5%, and ice hockey at 5%, with other sport at 26%. Consider a survey in which 344 college undergraduates who follow at least one sport were asked to identify their favorite sport produced the following results: Professional Football 112 Baseball 37 Men's College Football 48 Auto Racing 12 Men's Professional Basketball 7 Ice Hockey 18 Find the p-value. (Round your answer to four decimal places.) p-value = Other Sports 110 Do college undergraduate students differ from the general public with regard to their favorite sports? Use α = 0.05. State the null and alternative hypotheses. OH: The population proportion concerning favorite sport is the same for undergraduate students and…arrow_forward
- A market research group is interested in estimating the market share of three airline companies, A, B and C, operating on a particular flight path. These three airlines are the only companies operating on this route. Airline B claim that they have 50% of the business with the remaining percentage shared equally amongst airlines A and C, i.e. 25% each. The market research group decide to carry out an independent study and question a random sample of 97 people visiting an airport on a particular day. Each person was given price, timetables and service details of flights on this route for each of the three airlines. Provided with this information they were asked to select their airline of choice.The survey revealed the following observed frequencies Airline A - 26 Aurline B - 49 Airline C - 22 Test if there is any evidence to suggest that the airline's claim is incorrect, at significance level α = 0.05. Complete the test by answering the following questions : Which of the following is the…arrow_forwardA poll released this week found that in a random sample of registered voters, 60% indicated that they think a fenmale "will run" for the presidency, 30% said a female “will not run," and 10% had “no opinion." When asked their opinions on whether or not a female could be elected, 66% of those who said a female "will run" thought a female could be elected; 25% of those who thought a female "will not run" thought a female could be elected; whereas, 20% of those who had no opinion said 4. that a female could be elected. а. [2] What percentage of registered voters (in this sample) thought that a female could be elected? [2] Given that a person thought that a female could be elected, what is the probability that this person said a female "will not run" for the presidency? b. [3] Given that a person thought that a female could be elected, which is more likely: that this person said a female “will not run" for the presidency or that this person said a female “will run" for the presidency? C.arrow_forwardSamburu estate has two petrol stations, Mafuta and Petroli. The residents of the estate buy fuel at the two stations on a monthly basis. A recent survey found that the customers were not totally loyal to either petrol station and that they were willing to change as a result of advertising, service, and other factors. It was established that if a customer bought fuel from Mafuta in any given month, there was only a 60% chance that the customer would buy from Mafuta the next month and a 40% likelihood that the customer would buy fuel from Petroli the next month. Likewise, if a customer traded with Petroli in a given month, there was an 80% that the customer would buy fuel from Petroli in the next month and a 20% likelihood that the customer would purchase gasoline from Mafuta. Required: What is the the probability of a customer trading with Mafuta in month 3, given that the customer initially traded with Mafuta in month 1?arrow_forward
- Among students at a nearby college, the proportion who say they're interested in their congressional district's election results has traditionally been 65%. After a series of gripping debates on campus, a political scientist claims that the proportion, p, of students at the college who say they're interested In their district's election results is now greater than 65%. A poll is commissioned, and 181 out of a random sample of 250 students at the college say they're interested in their district's election results. Is there enough evidence to support the political scientist's cdaim at the 0.10 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H. and the alternative hypothesis H,. H, :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the…arrow_forwardNational polls from October 2016 showed that preferences for the 2016 presidential election differed along gender lines. Poll results showed that a greater percentage of likely female voters supported Clinton/Kaine, while a greater percentage of likely male voters supported Trump/Pence. A summary of poll results are shown in the table below. Men Women Clinton/Kaine 0.44 0.49 Trump/Pence 0.47 0.43 Based on this data, answer the following questions. Assume each person selected is independent from one another. Round your answers to 3 decimal places.(a) If 10 women across the US are randomly selected, find the probability that 9 or more support Clinton/Kaine. (b) If 20 men across the US are randomly selected, find the probability that 16 or less support Trump/Pence. (c) If 260 women across the US are randomly selected, how many would you expect to support Clinton/Kaine? (d) If 240 men across the US are randomly selected, how many would you expect to support Trump/Pence?arrow_forwardNational polls from October 2016 showed that preferences for the 2016 presidential election differed along gender lines. Poll results showed that a greater percentage of likely female voters supported Clinton/Kaine, while a greater percentage of likely male voters supported Trump/Pence. A summary of poll results are shown in the table below. Men Women Clinton/Kaine 0.44 0.49 Trump/Pence 0.47 0.43 Based on this data, answer the following questions. Assume each person selected is independent from one another. Round your answers to 3 decimal places.(a) If 10 women across the US are randomly selected, find the probability that 9 or more support Clinton/Kaine. (b) If 30 men across the US are randomly selected, find the probability that 20 or less support Trump/Pence. (c) If 220 women across the US are randomly selected, how many would you expect to support Clinton/Kaine? (d) If 340 men across the US are randomly selected, how many would you expect to support Trump/Pence?arrow_forward
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL