Question:

? Consider how the chi-square test of association is a nonparametric procedure that requires different assumptions.

? Bring to mind a real-world situation or problem that would best be analyzed using this technique.

? For this situation or problem:

o Clearly describe the independent and dependent variables you would study.

o State the research question and statistical null and alternative hypotheses.

o Explain why this test is appropriate and why a parametric procedure, such as correlation or ANOVA, would not be appropriate.

o Identify the measure of effect size that would be used and explain what it would tell you.

With these thoughts in mind state the real-world situation or problem you selected to address; the independent and dependent variables you would study; the research question; the statistical null and alternative hypotheses; an explanation of why this test is appropriate and why a parametric procedure, such as correlation or ANOVA, would not be appropriate; and the measure of effect size that would be used and an explanation of what it would tell you.

This questions is short and sweet:
A researcher obtained a random sample of n=60 students to determine whether there were any significant preferences among three leading rands of colas. LEach student tasted all three brands and the selected his or her favorite. The resulting frequencey distribution is as follows:

Brand A 28
Brand B 14
Brand C 18

Are the data sufficient of indicate any preferences among the three brands? Test with a=.05