Consider the following contingency table of observed frequencies:

Column Variable Row Variable C1 C2 C3 R1 20 6 18 R2 7 8 11 R3 10 15 5

a. Identify the null and alternative hypotheses for a chisquare test of independence based on the information in the table.

b. Calculate the expected frequencies for each cell in the contingency table.

c. Calculate the chi-square test statistic.

d. Using a = 0.01, state your conclusions.

e. Determine the p-value using Excel and interpret its meaning.

Applications AppendixLO1