Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Textbook Question
Chapter 10.1, Problem 9E
A county commissioner must vote on a resolution that would commit substantial resources to the construction of a sewer in an outlying residential area. Her fiscal decisions have been criticized in the past, so she decides to take a survey of people in her district to find out whether they favor spending money for a sewer system. She will vote to appropriate funds only if she is convinced that a majority (more than 50%) of the people in her district favor the measure. What hypotheses should she test?
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Solve the problems by following the steps and procedures in hypothesis testing. PRACTICE QUESTION
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Chapter 10 Solutions
Introduction To Statistics And Data Analysis
Ch. 10.1 - Explain why the statement x=50 is not a legitimate...Ch. 10.1 - For the following pairs, indicate which do not...Ch. 10.1 - To determine whether the pipe welds in a nuclear...Ch. 10.1 - According to an article in Science Daily (Still No...Ch. 10.1 - A press release about a paper that appeared in The...Ch. 10.1 - CareerBuilder.com conducted a survey to learn...Ch. 10.1 - A national survey of 1012 adult Americans...Ch. 10.1 - A researcher speculates that because of...Ch. 10.1 - A county commissioner must vote on a resolution...Ch. 10.1 - A cruise ship charges passengers 3 for a can of...
Ch. 10.1 - The article Facebook Use and Academic Performance...Ch. 10.2 - Researchers at Bostons Childrens Hospital and...Ch. 10.2 - The paper Breast MRI as an Adjunct to Mammography...Ch. 10.2 - Medical personnel are required to report suspected...Ch. 10.2 - How accurate are DNA paternity tests? By comparing...Ch. 10.2 - A television manufacturer claims that (at least)...Ch. 10.2 - A manufacturer of hand-held calculators receives...Ch. 10.2 - Water specimens are taken from water used for...Ch. 10.2 - Suppose that for a particular hypothesis test, the...Ch. 10.2 - Suppose that you arc an inspector for the Fish and...Ch. 10.2 - The paper Living Near Nuclear Power Plants and...Ch. 10.2 - An automobile manufacturer is considering using...Ch. 10.3 - Use the definition of the P-value to explain the...Ch. 10.3 - For which of the following P-values will the null...Ch. 10.3 - Pairs of P-values and significance levels, , are...Ch. 10.3 - Pairs of P-values and significance levels are...Ch. 10.3 - Let p denote the proportion of students at a...Ch. 10.3 - Assuming a random sample from a large population,...Ch. 10.3 - In a survey conducted by CareerBuilder.com,...Ch. 10.3 - In a survey of 1000 women age 22 to 35 who work...Ch. 10.3 - The paper Debt Literacy, Financial Experiences and...Ch. 10.3 - Most Like it Hot is the title of a press release...Ch. 10.3 - In a survey of 1005 adult Americans, 46% indicated...Ch. 10.3 - The article Euthanasia Still Acceptable to Solid...Ch. 10.3 - The report Digital Democracy Survey (Deloitte...Ch. 10.3 - The article How to Block Nuisance Calls (The...Ch. 10.3 - The article Facebook Use and Academic Performance...Ch. 10.3 - The article Public Acceptability in the UK and the...Ch. 10.3 - The article Cops Get Screened for Digital Dirt...Ch. 10.3 - Refer back to the previous exercise. The actual...Ch. 10.3 - The report 2007 Electronic Monitoring ...Ch. 10.3 - The United States Elections Project...Ch. 10.4 - Give as much information as you can about the...Ch. 10.4 - Give as much information as you can about the...Ch. 10.4 - Give as much information as you can about the...Ch. 10.4 - Paint used to paint lines on roads must reflect...Ch. 10.4 - A certain pen has been designed so that actual...Ch. 10.4 - Prob. 48ECh. 10.4 - The paper Playing Active Video Games Increases...Ch. 10.4 - A study of fast-food intake is described in the...Ch. 10.4 - Refer to the study and hypothesis test of the...Ch. 10.4 - The report 2016 Salary Survey Executive Summary...Ch. 10.4 - The Economist collects data each year on the price...Ch. 10.4 - The report Majoring in Money: How American College...Ch. 10.4 - The authors of the paper Changes in Quantity,...Ch. 10.4 - Medical research has shown that repeated wrist...Ch. 10.4 - A comprehensive study conducted by the National...Ch. 10.4 - In a study of media use, each person in a large...Ch. 10.4 - Refer to the study description and sample...Ch. 10.4 - The paper titled Music for Pain Relief (The...Ch. 10.4 - Many consumers pay careful attention to stated...Ch. 10.4 - Much concern has been expressed regarding the...Ch. 10.5 - The power of a test is influenced by the sample...Ch. 10.5 - Water specimens are taken from water used for...Ch. 10.5 - Prob. 65ECh. 10.5 - Let denote the mean lifetime (in hours) for a...Ch. 10.5 - The city council in a large city has become...Ch. 10.5 - The amount of shaft wear after a fixed mileage was...Ch. 10.5 - Optical fibers are used in telecommunications to...Ch. 10.5 - Let denote the mean diameter for bearings of a...Ch. 10.5 - Use the information given in the previous exercise...Ch. 10.6 - In 2006, Boston Scientific sought approval for a...Ch. 10.6 - The article Boy or Girl: Which Gender Baby Would...Ch. 10.7 - We are only beginning to learn about the long-term...Ch. 10.7 - A study of hospitalized patients who develop...Ch. 10.7 - Prob. 76ECh. 10.7 - Prob. 77ECh. 10.7 - Prob. 78ECh. 10.7 - Prob. 79ECh. 10.8 - Prob. 80ECh. 10.8 - Prob. 81ECh. 10.8 - Prob. 83ECh. 10.8 - Prob. 84ECh. 10 - The report A Crisis in Civic Education (American...Ch. 10 - In a national survey of 2013 adults, 1590...Ch. 10 - Students at the Akademia Podlaka conducted an...Ch. 10 - Prob. 89CRCh. 10 - People in a random sample of 236 students enrolled...Ch. 10 - According to a large national survey conducted by...Ch. 10 - In a representative sample of adult Americans age...Ch. 10 - The article Facebook Use and Academic Performance...Ch. 10 - A number of initiatives on the topic of legalized...Ch. 10 - Duck hunting in populated areas faces opposition...Ch. 10 - Past experience has indicated that the response...Ch. 10 - An automobile manufacturer who wishes to advertise...Ch. 10 - A student organization uses the proceeds from a...Ch. 10 - A hot tub manufacturer advertises that with its...Ch. 10 - Prob. 1CRECh. 10 - Prob. 2CRECh. 10 - Prob. 3CRECh. 10 - Prob. 4CRECh. 10 - Prob. 5CRECh. 10 - The article Should Canada Allow Direct-to-Consumer...Ch. 10 - Prob. 7CRECh. 10 - It probably wouldnt surprise you to know that...Ch. 10 - The article Doctors Cite Burnout in Mistakes (San...Ch. 10 - The National Geographic Society conducted a study...Ch. 10 - Heinz Plays Catch-up After Under-Filling Ketchup...Ch. 10 - In a survey conducted by Yahoo Small Business,...Ch. 10 - In an AP-AOL sports poll (Associated Press,...Ch. 10 - The article titled 13% of Americans Dont Use the...Ch. 10 - A survey of teenagers and parents in Canada...Ch. 10 - The same survey referenced in the previous...
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- According to the American Management Association, most U.S. companies now test at least some employees and job applicants for drug use. The U.S. National Institute on Drug Abuse claims that about 15% of people in the 18-25 age bracket use illegal drugs. Allyn Clark, a 21 year-old college graduate, applied for a job at the Acton Paper Company, took a drug test, and was not offered a job. He suspected that he might have failed the drug test, even though he does not use drugs. In checking with the company's personnel department, he found that the drug test has 99% sensitivity, which means that only 1% of drug users incorrectly test negative. Also, the test has 98% specificity, meaning that only 2% of nonusers are incorrectly identified as drug users. Allyn felt relieved by these figures because he believed that they reflected a very reliable test that usually provides good results. But is this really true? The accompanying table shows data for Allyn and 1,499 other job applicants. Based…arrow_forwardIndependent studies show that 26 out of 40 r/s full-time students favor a shorter semester system, while 38 out of 50 r/s part-time students favor the same. Construct a 98% c.i. for the difference between the overall percentage of full-time students favoring a shorter semester system and that of part-time students.arrow_forwardIn a study conducted by Zogby International for the Democrat and Chronicle, more than 700 New Yorkers were polled to determine whether the New York state government works. Respondents surveyed were asked questions involving pay cuts for state legislators, restrictions on lobbyists, term limits for legislators, and whether state citizens should be able to put matters directly on the state ballot for a vote. The results regarding several proposed reforms had broad support, crossing all demographic and political lines. Suppose that a follow-up survey of 100 individuals who live in the western region of New York was conducted. The party affiliation (Democrat, Independent, Republican) of each individual surveyed was recorded, as well as their responses to the following three questions. Should legislative pay be cut for every day the state budget is late? Yes _________ No _________ Should there be more restrictions on lobbyists? Yes _________ No _________ Should there be term limits…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 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_forwardOne of the issues that usually come up in the US presidential elections is how to deal with a sluggish economy. Specifically, should the government cut spending, raise taxes, inflate the economy by printing more money, or do none of the above and let the deficit rise? And as with most other issues, politicians need to know which parts of the electorate support these options. Suppose that a random sample of 1,000 people was asked which option they support and their political affiliations. The possible responses to the question about the preferred economic option were the four options mentioned above (i.e., Cut, Raise, Inflate, and Let), and to the question about political affiliation the respondents could answer Democrat, Republican, or Independent (which included a variety of political persuasions). The responses are summarised in the table below. Do these data allow us to conclude at the 1% significance level that political affiliation affects support for the economic options?…arrow_forwardThe National Association of Realtors estimates that 23% of all homes purchased in 2004 were considered investment properties. If a sample of 800 homes sold in 2004 is obtained and it was noted that 248 homes were to be used as investment property, would this be unusual? Answer either "yes" or "no" and provide the justification for your answer.arrow_forward
- The academic planner of a university thinks that less than 35% of the entire student body attends summer school. The correct set of hypotheses to verify his belief is _____.arrow_forwardA 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).arrow_forwardBecause 25 percent of the students in my morning statistics class watch eight or more hours of television a week, I conclude that 25 percent of all students at the university watch eight or more hours of television a week. The most important logical weakness of this conclusion would be?arrow_forward
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