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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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- In 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_forwardA local TV station conducts an “Instant Poll” to predict the winner in the upcoming mayoral election. Evening news viewers were invited to phone in their votes, with the results to be announced on the late-night news. Based on the phone calls, the station predicted that Joseph Serra would win the election with 52% of the vote. They were wrong: Serra lost, getting only 46% of the vote. This faulty prediction may be the consequence of what kind of bias?arrow_forwardA 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_forward
- To investigate whether there is a significant difference between two regions of a state in the percent of voters who intend to vote for the incumbent governor in the next election, a polling agency interviewed 300 randomly selected voters from the north of the state and 400 randomly selected voters from the south of the state. Of those interviewed, 200 from the north and 325 from the south indicated they intended to vote for the incumbent governor in the next election. Which of the following is the most appropriate method for analyzing the results? A one-sample zz-test for a sample proportion A A one-sample zz-test for a population proportion B A two-sample zz-test for a sample proportion C A two-sample zz-test for a difference in sample proportions D A two-sample zz-test for a difference in population proportions Earrow_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_forwardAs the price of oil rises, there is increased worldwide interest in alternate sources of energy. The Financial Times/Harris Poll surveyed people in six countries to assess attitudes toward a variety of alternate forms of energy. The data in the following table are a portion of the poll's findings concerning whether people favor or oppose the building of new nuclear power plants. Country Response Great Britain France Italy Spain Germany United States Strongly favor 140 160 299 132 128 205 Favor more than oppose 347 367 308 221 273 327 Oppose more than favor 381 335 219 310 323 315 Strongly oppose 216 215 219 444 389 175 a. How large was the sample in this poll? b. Conduct a hypothesis test to determine whether people's attitude toward building new nuclear power plants is independent of country. x² =| (to 2 decimals) Use Table 3 of Appendix B to find the p-value. The p-value is - Select your answer - What is your conclusion? Select your answer that the attitude toward building new…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 districts election results is now less than 70%. A pill is commissioned, and 154 out of random sample of 230 students at the college say they’re interested in their districts 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.arrow_forward
- After a product recall, a company solicits feedback from a random sample of 100 customers regarding their opinion about the company since the recall. Customers were asked, "Do you approve, disapprove, or have no opinion about the company?” The public relations department is concerned that the opinions may be equally distributed across these three options. The survey reveals that 38 customers approve, 45 disapprove, and 17 have no opinion. They decide to carry out a test of the following hypotheses: H0: Customer opinion is equally distributed across the three options. Ha: Customer opinion is not equally distributed across the three options. The chi-square test statistic is χ2 = 7.77 and the P-value is between 0.02 and 0.025. What conclusion should the public relations department make? Use α =0.05. Reject H0. There is convincing evidence that the distribution of customer opinion is equally distributed across the three options. Reject H0. There is convincing evidence that the…arrow_forwardAmong 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 185 out of a random sample of 275 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 H1. p H, :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO (c)…arrow_forwardThe Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains (Consumer Reports website). One of the variables in the study is meal price, the average amount paid per person for dinner and drinks, minus the tip. Suppose the reporter for the Sun Coast Times thought that it would be of interest to her readers to conduct a similar study for restaurants located on the Grand Strand section in Myrtle Beach, South Carolina. The reporter selected a sample of 8 seafood restaurants, 8 Italian restaurants, and 8 steakhouses. The following data show the meal prices ($) obtained for the 24 restaurants sampled. Use a = .05 to test whether there is a significant difference among the mean meal price for the three types of restaurants. Italian Seafood Steakhouse $12 $16 $24 13 18 19 15 17 23 17 26 25 18 23 21 20 15 22 17 19 27 24 18 31arrow_forward
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL