mob Using and Interpreting Concepts aluast Testing Claims In Exercises 9-14, (a) write the claim mathematically and identify Ho and Ha, (b) find the critical value(s) and identify the rejection region(s), (c) find the standardized test statistic, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. If convenient, use technology to find the standardized test statistic. 9. Smokers A medical researcher says that at least 20% of U.S. adults are smokers. In a random sample of 200 U.S. adults, 18.5% say that they are smokers. At a = 0.01, is there enough evidence to reject the researcher's claim? (Adapted from U.S. National Center for Health Statistics) 10. Do You Eat Breakfast? A research center estimates that no more than 40% of U.S. adults eat breakfast every day. In a random sample of 250 U.S. adults, 41.6% say they eat breakfast every day. At a = 0.01, is there enough evidence to reject the researcher's claim? (Adapted from Harris Interactive) 11. Environmentally Conscious Consumers You are employed by an environmental conservation agency that recently claimed that more than 30% of U.S. consumers have stopped buying a certain product because the manufacturing of the product pollutes the environment. You want to test this claim. You randomly select 1050 U.S. consumers and find that 32% have 0.03, can stopped buying this product because of pollution concerns. At a = you support the agency's claim? (Adapted from Wirthlin Worldwide) 12. Genetically Modified Foods An environmentalist claims that more than 60% of British consumers are concerned about the use of genetic modification in food production and want to avoid genetically modified foods. You want to test this claim. You find that in a random sample of 100 British consumers, 65% say that they are concerned about the use of genetic modification in food production and want to avoid genetically modified can you support the environmentalist's claim? (Adapted YPOTHESIS TESTING WITH ONE SAMPLE 13. Finding a Real Estate Agent In your work for a real estate company, you find that in a sample of 1762 home buyers, 722 found their real estate agent through a friend. At a = 0.02, can you reject the claim that 44% of home buyers find their real estate agent through a friend? (Adapted from USA TODAY) 14. Do You Like to Fly? A researcher claims that 24% of adults in the United States are afraid to fly. You want to test this claim. You find that in a random sample of 1075 adults in the United States, 292 are afraid to fly. At = 0.05, can you reject the researcher's claim? (Source: Marist Institute for Public Opinion) a