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chap12-TIF-SMUME5e - Chi-Square Tests and Nonparametric...

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Chi-Square Tests and Nonparametric Tests 123 CHAPTER 12: CHI-SQUARE TESTS AND NONPARAMETRIC TESTS 1. When testing for independence in a contingency table with 3 rows and 4 columns, there are ________ degrees of freedom. a) 5 b) 6 c) 7 d) 12 ANSWER: b TYPE: MC DIFFICULTY: Easy KEYWORDS: Chi-square test of independence, degrees of freedom 2. If we use the χ 2 method of analysis to test for the differences among 4 proportions, the degrees of freedom are equal to: 3. If we wish to determine whether there is evidence that the proportion of successes is the same in group 1 as in group 2, the appropriate test to use is 4. In testing a hypothesis using the χ 2 test, the theoretical frequencies are based on the
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124 Chi-Square Tests and Nonparametric Tests KEYWORDS: Chi-square test for difference in proportions, Chi-square test of independence, properties TABLE 12-1 A study published in the American Journal of Public Health was conducted to determine whether the use of seat belts in motor vehicles depends on ethnic status in San Diego County. A sample of 792 children treated for injuries sustained from motor vehicle accidents was obtained, and each child was classified according to (1) ethnic status (Hispanic or non-Hispanic) and (2) seat belt usage (worn or not worn) during the accident. The number of children in each category is given in the table below. Hispanic Non-Hispanic Seat belts worn 31 148 Seat belts not worn 283 330 5. Referring to Table 12-1, which test would be used to properly analyze the data in this experiment? a) χ 2 test for independence b) χ 2 test for differences among more than two proportions c) Wilcoxon rank sum test for independent populations d) McNemar test for the difference between two proportions ANSWER: a TYPE: MC DIFFICULTY: Moderate KEYWORDS: Chi-square test of independence, 6. Referring to Table 12-1, the calculated test statistic is
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