Question: Utilize the following contingency table to answer the questions listed below.
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.