Chi-Square (Test for Independence) | Complete Solution

Chi-Square (Test for Independence)
First Set of Questions:
Question 1:
A researcher is interested in knowing if there are differences between the incidence of accidents among male and female pilots. They were able to collect 62 responses from a random number of pilots. Among them, 17 male pilots were in accidents, 26 were not; 13 female pilots were in accidents, 6 were not.
• Construct a contingency table.
• Run the Chi-Square test for independence using StatCrunch.
• To access, click STAT>Tables>Contingency> with data
• State your findings and their significance. Do not forget to give summary statistics in APA format.

Question 2:
A researcher has found that pilots taking an over the counter antihistamine have poor reaction times. They performed an experiment on 22 pilots: 11 took the medication and 11 did not. Their reaction times to a command by Air Traffic Control was considered to be adequate or inadequate. Among those taking the medication, 8 were rated inadequate and 3 adequate.
Among those not-taking the medication, 10 were rated adequate and only 1 inadequate.
• Construct a contingency table.
• Run the Chi-Square test for independence using StatCrunch.
• To access, click STAT>Tables>Contingency> with data
• State your findings and their significance. Do not forget to give summary statistics in APA format.
• What is the problem with this research study? Is the Chi-Square test appropriate? Why or why not? What could the researcher do to potentially rectify the problem?

Second set of questions:
Question 1:
Name three cases when you should use non-parametric analysis in place of parametric?
Question 2:
What are some disadvantages of using non-parametric analysis (versus parametric)?
Question 3:
Match the non-parametric version of analysis with its parametric equivalent.
A.    Mann-Whitney U                                            1. One-way ANOVA
B.    Kruskal-Wallis                                                2. Paired sample t-test
C.    Wilcoxon Signed Rank                                  3. Independent sample t-test
D.    Friedman                                                       4. Pearson correlation
E.    Spearman’s Rank                                          5. Repeated measure ANOVA

Third set of questions: