Qusetion: Obtain data for two qualitative variables (a bivariate data set) on the Internet, in a newspaper, or in a magazine relating to your work or business interests.
a. Summarize these observations in a table of counts.
b. Summarize these observations in a table of overall percentages; then comment.
c. Summarize these observations in a table of percentages by one of your variables. Comment on the profiles of the other variable.
d. Repeat the preceding part using percentages by the other variable.
e. What does the null hypothesis of independence claim for this situation? Is it a reasonable possibility, in your opinion?
f. Find the table of expected counts, assuming that your two variables are independent.
g. List the [(Observed Expected)2 /Expected] values for each combination of categories. Find the largest and smallest values in this table, and explain why these particular combinations of categories are smallest and largest by comparing the observed and expected counts for these categories.
h. Find the chi-squared statistic.
i. Perform the chi-squared test and find the p-value (reported as p > 0.05, p < 0.05, P < 0.01 or p < 0.001)
j. Comment on what the chi-squared test has told you about this business situation.