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1. Using StatCrunch, calculate the chi-square statistic and degrees of freedom for the following set of data for 300 people:

 

 

 

Group AGroup BGroup CTotal

 

Had flu shot 20 30 32 82

 

Didn’t have flu shot 80 70 68 218

 

Total 100 100 100 300

 

 

 

Is the value of the chi-square statistically significant at the 0.05 level?

 

 

 

2. Write a paragraph summarizing the results of the analysis in Exercise 1.

 

 

 

3. Using StatCrunch, calculate the chi-square statistic and degrees of freedom for the following set of data for 180 people undergoing a knee replacement treatment with a drug supplement:

 

 

 

Treatment with drug XTreatment without Drug XTotal

 

Had > 8 wk rehab 18 32 50

 

Had < 8 wk rehab 70 60 130

 

Total 88 92 180

 

 

 

Is the value of the chi-square statistically significant at the 0.05 level?

 

 

 

4. Write a paragraph summarizing the results of the analysis in Exercise 3.

 

 

 

5. Given each of the following circumstances, determine whether the calculated values of chi-square are statistically significant:

 

 

 

  1. χ2 = 3.02, df = 1, α = 0.05

  2. χ2 = 8.09, df = 4, α = 0.05

  3. χ2 = 10.67, df = 3, α = 0.01

  4. χ2 = 9.88, df = 2, α = 0.01

 

 

 

6. Match each of the nonparametric tests in Column A with its parametric counterpart in Column B

 

 

 

A. Nonparametric Test B. Parametric Test

 

1. Mann-Whitney U-test a. Paired t-test

 

2. Friedman test b. One-way ANOVA

 

3. Kruskall-Wallis test c. Independent groups t-test

 

4. Wilcoxon signed-ranks test d. Repeated measures ANOVA

 

 

 

7. Using the information provided, indicate which statistical test you think should be used for each of the following situations:

 

 

 

  1. Independent variable: normal birth weight vs. low birth weight infants; dependent variable: 1 minute Apgar scores (1-10 scale).

  2. Independent variable: time of measurement (before, during, and after surgery); dependent variable: heart rate.

  3. Independent variable: time of measurement (before, during, and after intervention); dependent variable: did vs did not exercise regularly.

  4. Independent variable: infertility treatment A vs infertility treatment B vs control condition; dependent variable: did vs did not become pregnant.

 

 

 

8. Below are three sets of expected frequencies for the four cells of 2 X 2 contingency tables. Identify which statistical procedure would be appropriate for each, using the most conservative approach.

 

 

 

a. 4 4 b. 35 35 c. 9 9

 

21 21 65 65 91 91

 

 

 

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