Exam 7: Hypothesis Testing With Nominal and Ordinal Variables: CHI Square

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A university has implemented a training program to educate incoming students about the problem of sexual assault on campus. A sample of students was selected from the new student population and tested for whether they thought the instructor taught the material effectively. Are instructor evaluations related to a student's program of study? Using the five-step model and an alpha level of 0.05, write a sentence or two interpreting your results. Evaluation Major Total Social Sciences Sciences/ Engineering Business Instructor taught very well 36 23 17 76 Instructor taught adequately 20 17 16 53 Instructor taught poorly 10 18 36 64 Total 66 58 69 193

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A researcher wishes to compare criminal defendants from three self-reported social classes (lower, middle, and upper) on the outcomes of their criminal trial (guilty vs. innocent). What would be the degrees of freedom for conducting a chi square test?

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If row marginal = 75, column marginal = 12, and n = 50, what is the expected frequency?

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In a research study conducted to determine whether owning a pet was related to high life satisfaction, the chi square critical score was 3.84 and the chi square test statistic was 28.5. Which of the following can be concluded from these results?

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If a null hypothesis that is in fact true has been rejected, then which of the following is indicated?

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A researcher reports a ÷2 (obtained) of 67.14 (á = 0.05, df = 2, ÷2 (critical) = 3.84, n = 16,987). The researcher claims that the relationship is statistically significant. Which of these issues should be raised?

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An obtained chi square of 9.53 was calculated and the critical chi square was 18.48. What should be concluded from these results?

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In your own words, define and explain each of the following terms and concepts. a. null hypothesis b. Type I (alpha) error c. sampling distribution

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  -Refer to the table. Which of the following is a valid marginal value? -Refer to the table. Which of the following is a valid marginal value?

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  -Refer to the table. The column percentages from this table tell us that what percent of female newborns have low birth weight? -Refer to the table. The column percentages from this table tell us that what percent of female newborns have low birth weight?

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Where would the critical region begin for a chi square test with the alpha level set at 0.05 and with 8 degrees of freedom?

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