452 CHAPTER 8 Hypothesis Testing with Two Samples 10. Young Adults In a survey of 1000 males ages 18 to 24, 13.3% were neither in school nor working. In a survey of 1000 females ages 18 to 24, 12.4% were neither in school nor working. At a = 0.10, can you support the claim that the proportion of males ages 18 to 24 who were neither in school nor working is greater than the proportion of females ages 18 to 24 who were neither in school nor working? (Adapted from National Center for Education Statistics) 11. Seat Belt Use In a survey of 1000 drivers from the West, 934 wear a seat belt. In a survey of 1000 drivers from the Northeast, 909 wear a seat belt. At a = 0.05, can you support the claim that the proportion of drivers who wear seat belts is greater in the West than in the Northeast? (Adapted from National Highway Traffic Safety Administration) 12. Seat Belt Use In a survey of 1000 drivers from the Midwest, 855 wear a seat belt. In a survey of 1000 drivers from the South, 909 wear a seat belt. At a = 0.10, can you support the claim that the proportion of drivers who wear seat belts in the Midwest is less than the proportion of drivers who wear seat belts in the South? (Adapted from National Highway Traffic Safety Administration) Parks and Mental Health In Exercises 13–18, use the figure, which shows the percentages from a survey of two hundred 18- to 24-year-olds in the United States who say that various park and recreation activities have a positive impact on their mental health. (Adapted from National Recreation and Park Association) 13. Exercising and Socializing At a = 0.10, can you reject the claim that the proportion of 18- to 24-year-olds who benefit mentally from exercising in parks is the same as the proportion who benefit mentally from socializing in parks? 14. Taking Classes and Enjoying Nature At a = 0.05, can you support the claim that the proportion of 18- to 24-year-olds who benefit mentally from taking classes in parks is less than the proportion who benefit mentally from enjoying nature in parks? 15. Socializing and Enjoying Nature At a = 0.10, can you support the claim that the proportion of 18- to 24-year-olds who benefit mentally from socializing in parks is greater than the proportion who benefit mentally from enjoying nature in parks? 16. Socializing and Taking Classes At a = 0.05, can you support the claim that the proportion of 18- to 24-year-olds who benefit mentally from socializing in parks is different from the proportion who benefit mentally from taking classes in parks? 17. Enjoying Nature and Exercising At a = 0.01, can you support the claim that the proportion of 18- to 24-year-olds who benefit mentally from enjoying nature in parks is less than the proportion who benefit mentally from exercising in parks? 18. Exercising and Taking Classes At a = 0.01, can you reject the claim that the proportion of 18- to 24-year-olds who benefit mentally from exercising in parks is greater than or equal to the proportion who benefit mentally from taking classes in parks? Parks and Mental Health Percentage of 18- to 24-year-olds who benefit mentally from park and recreation activities Exercising Socializing Enjoying nature Taking classes 39% 44% 51% 57%
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