# Using statcrunch, calculate the chi-square statistic and degrees of

**Week 3 Assignment**

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

*Group A Group B Group C Total*

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 X Treatment without Drug X Total*

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:

a. ?^{2} = 3.02, *df* = 1, ? = 0.05

b. ?^{2} = 8.09, *df* = 4, ? = 0.05

c. ?^{2} = 10.67, *df* = 3, ? = 0.01

d. ?^{2} = 9.88, *df* = 2, ? = 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:

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

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

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

d. 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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