Concept explainers
Testing Claims About Proportions. In Exercises 7–22, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim.
9. Smoking Cessation Programs Among 198 smokers who underwent a “sustained care” program, 51 were no longer smoking after six months. Among 199 smokers who underwent a “standard care” program, 30 were no longer smoking after six months (based on data from “Sustained Care Intervention and Postdischarge Smoking Cessation Among Hospitalized Adults,” by Rigotti et al., Journal of the American Medical Association, Vol. 312, No. 7). We want to use a 0.01 significance level to test the claim that the rate of success for smoking cessation is greater with the sustained care program.
a. Test the claim using a hypothesis test.
b. Test the claim by constructing an appropriate confidence interval.
c. Does the difference between the two programs have practical significance?
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Chapter 9 Solutions
Student's Solutions Manual To Accompany Elementary Statistics Tenth Edition
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Statistics: The Art and Science of Learning from Data (4th Edition)
Elementary Statistics: Picturing the World (6th Edition)
Statistics for Psychology
Intro Stats, Books a la Carte Edition (5th Edition)
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- Technology. In Exercises 9–12, test the given claim by using the display provided from technology. Use a 0.05 significance level. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), or critical value(s), and state the final conclusion that addresses the original claim. Body Temperatures Data Set 3 “Body Temperatures” in Appendix B includes 93 body temperatures measured at 12AM on day 1 of a study, and the accompanying XLSTAT display results from using those data to test the claim that the mean body temperature is equal to 98.6°F. Conduct the hypothesis test using these results. For Exercise 10arrow_forwardTesting Hypotheses. In Exercises 13–24, assume that a simple random sample has been selected and test the given claim. Unless specified by your instructor, use either the P-value method or the critical value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), or critical value(s), and state the final conclusion that addresses the original claim. Insomnia Treatment A clinical trial was conducted to test the effectiveness of the drug zopiclone for treating insomnia in older subjects. Before treatment with zopiclone, 16 subjects had a mean wake time of 102.8 min. After treatment with zopiclone, the 16 subjects had a mean wake time of 98.9 min and a standard deviation of 42.3 min (based on data from “Cognitive Behavioral Therapy vs Zopiclone for Treatment of Chronic Primary Insomnia in Older Adults,” by Sivertsen et al., Journal of the American Medical Association, Vol. 295, No. 24). Assume that the 16 sample values…arrow_forwardFinal Conclusions. In Exercises 25–28, use a significance level of α = 0.05 and use the given information for the following: a. State a conclusion about the null hypothesis. (Reject H0 or fail to reject h0). b. Without using technical terms or symbols, state a final conclusion that addresses the original claim. Original claim: Fewer than 90% of adults have a cell phone. The hypothesis test results in a p-value of 0.0003.arrow_forward
- Applying the 6 steps in Hypothesis Testing for the population meanarrow_forwardThe chi-square goodness-of-fit test provides a method for performing a hypothesis test about the distribution of a variable that has c possible values. If the number of possible values is 2, that is, c = 2, the chi-square goodness-of-fit test is equivalent to a procedure that you studied earlier. a. Which procedure is that? Explain your answer. b. Suppose that you want to perform a hypothesis test to decide whether the proportion of a population that has a specified attribute is different from p0. Discuss the method for performing such a test if you use (1) the one-proportionarrow_forwardP VALUE FOR THE TEST HYPOTHESISarrow_forward
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