Chapter 10 Review Exercises #1-4 In Exercises 1 and 2, use a X² goodness-of-fit test to test the claim about the population distribution. Interpret the decision in the context of the original claim. 1. A health care investigator wishes to test the following claim: Of all doctor’s office visits in the United States, 25% are from new patients, 25% are from old patients with a new problem, and the remainder are old patients with a recurring problem. A random sample of various doctors finds that 97 patients were new, 142 were old with a new problem, and 457 were old patients with a recurring problem. Test the claim at α = 0.05. 2. A legal researcher is studying the age distribution of juries by comparing them to the overall age distribution of available jurors. The researcher claims that the jury distribution is different from the overall distribution; that is, there is a noticeable age bias in jury selection in this area. The following table shows the number of jurors at a county court in one year and the percent of persons residing in that county, by age. Use the population distribution to find the expected juror frequencies. Test the researcher’s claim at α = 0.01. 3. The following table shows the highest level of education of people in the United States by age category in a recent year. The numbers listed are in thousands of persons. Use α = 0.10. 4. The contingency table shows the results of a random sample of 480 individuals classified by gender and type of vehicle owned. Use α = 0.05.
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