The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 900 voters in the town and found that 48% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is not equal to 51%. Testing at the 0.05 level, is there enough evidence to support the strategist's claim? Step 4 of 6 : Determine the decision rule for rejecting the null hypothesis, H0H0
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The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 900 voters in the town and found that 48% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is not equal to 51%. Testing at the 0.05 level, is there enough evidence to support the strategist's claim?
Determine the decision rule for rejecting the null hypothesis, H0H0.
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- 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…A conservative radio talk show host with a large audience is interested in the proportion p ofadults in his listening area who think the drinking age should be lowered to eighteen. To findthis out, he poses the following question to his listeners: “Do you think that the drinking ageshould be reduced to eighteen in light of the fact that eighteen year‐olds are eligible for militaryservice?” He asks listeners to phone in and vote “Yes” if they agree the drinking age should belowered and “No” if not. Of the 100 people who phoned in, 70 answered “Yes.” a. List one source of sampling bias (i.e. bias based on the people included in the sample). b. List another source of bias (sampling or non-sampling).Exit polling is a popular technique used to determine the outcome of an election prior to results being tallied. Suppose a referendum to increase funding for education is on the ballot in a large town (voting population over 100,000). An exit poll of 500 voters finds that 245 voted for the referendum. How likely are the results of your sample if the population proportion of voters in the town in favor of the referendum is 0.51? Based on your result, comment on the dangers of using exit polling to call elections. Question content area bottom Part 1 How likely are the results of your sample if the population proportion of voters in the town in favor of the referendum is 0.51?
- 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 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.Internet tax: In 2013, the Gallup Poll asked 1033 U.S. adults whether they believed that people should pay sales tax on items purchased over the internet. Of these, 434 said they supported such a tax. Does the survey provide convincing evidence that less than 46% of U.S. adults favor an internet sales tax? Use the a=0.10 level of significance and the P-value method with the TI-84 Plus calculator. Part: 0 / 4 Part 1 of 4 (a) State the null and alternate hypotheses. H: OExit polling is a popular technique used to determine the outcome of an election prior to results being tallied. Suppose a referendum to increase funding for education is on the ballot in a large town (voting population over 100,000). An exit poll of 500 voters finds that 260 voted for the referendum. How likely are the results of your sample if the population proportion of voters in the town in favor of the referendum is 0.49? Based on your result, comment on the dangers of using exit polling to call elections. How likely are the results of your sample if the population proportion of voters in the town in favor of the referendum is 0.49? The probability that more than 260 people voted for the referendum is (Round to four decimal places as needed.)A nutritionist estimates that 57% of her patients stick to the eating plan she helps them design. She also knows that 53% of her patients are diabetic. Additionally she knows that 22.79% of her patients are diabetic and are not sticking to the eating plan she helped them design. (a) What proportion of her patients are not sticking to the eating plan she helped them design? (b) What proportion of her patients are diabetic? (c) Within the nutritionist's patients, being diabetic and not sticking to the eating plan she helped design are which of the following? O dependent O independentA local cellular phone company wishes to estimate the proportion of Clinton County people who own a cellular phone. A previous study showed the proportion to be about 25%. What is the minimum number of people that should be randomly selected so the cellular company is 95% confident that the estimate is within 5% of the true proportion of cellular phone users?A restaurant chain specializing in ice cream deserts contacted you to characterize the market for new franchise locations in Upstate NY. The firm is located in the Southwestern US, and has excellent experience there. However, they are opening a few test locations in Buffalo, Syracuse and Albany in the very near future, and have hired you, an Upstate NY statistical consultant, to collect and analyze the results. These restaurants follow a standard blueprint for design, operation, and location. They run a 2,150 sq foot facility in wealthier suburban areas, and usually locate in new plazas near other specialty restaurants that tend not to compete with them (Starbucks, Panera, Fridays, and similar restaurants.) Existing Southwestern locations take in an average of $82,000 a week in sales, with a highly reliable standard deviation of $5,200. Before deciding on their regional distribution strategy, the firm is opening three test restaurants, one in each city. They want you to examine the…Exit polling is a popular technique used to determine the outcome of an election prior to results being tallied. Suppose a referendum to increase funding for education is on the ballot in a large town (voting population over 100,000). An exit poll of 300 voters finds that 147 voted for the referendum. How likely are the results of your sample if the population proportion of voters in the town in favor of the referendum is 0.51? Based on your result, comment on the dangers of using exit polling to call elections.Español Among college students, the proportion p who say they're interested in their congressional district's election results has traditionally been 65%. After a series of debates on campuses, a political scientist daims that the proportion of college students who say they're interested in their district's election results is more than 65%. A poll is commissioned, and 173 out of a random sample of 260 college students 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. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H1. H, :0 H :0 (b) Determine the type of test statistic to use. (Choose one) D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) ロ=ロ ORecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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