Use the following contingency table for this exercise:

C1 C2 R1 51 207 R2 146 185 R3 240 157

a. State the relevant null and alternative hypotheses.

b. Calculate the expected values for each of the cells.

c. Compute the chi-square test statistic for the hypothesis test.

d. Determine the appropriate critical value and reach a decision for the hypothesis test. Use a significance level of 0.05.

e. Obtain the p-value for this hypothesis test.