A Professor Chose a Random Sample of 50 Recent Graduates

A professor chose a random sample of 50 recent graduates of an MBA program and
recorded the gender of each graduate (M or
F)and whether the graduate chose to
complete his or her degree requirements by completing a research project (RP)or by
taking comprehensive exams (CE). The results are shown below.
$\begin{array} { l l l l l } \text { M, CE } & \text { M, RP } & \text { F, RP } & \text { M, CE } & \text { M, CE } \\ \text { F, CE } & \text { F, RP, } & \text { M, CE } & \text { M, RP } & \text { F, RP } \\ \text { F, CE } & \text { M, RP } & \text { F, RP } & \text { F, CE } & \text { M, RP } \\ \text { F, RP } & \text { M, RP } & \text { F, CE } & \text { M, CE } & \text { M, CE } \\ \text { M, RP } & \text { F, CE } & \text { F, RP } & \text { M, CE } & \text { M, CE } \\ \text { F, CE } & \text { M, RP } & \text { F, RP } & \text { M, CE } & \text { M, CE } \\ \text { F, CE } & \text { F, RP, } & \text { M, CE } & \text { M, RP } & \text { F, RP } \\ \text { M, CE } & \text { M, RP } & \text { F, RP } & \text { F, CE } & \text { M, RP } \\ \text { F, RP } & \text { M, RP } & \text { M, CE } & \text { M, CE } & \text { M, CE } \\ \text { M, RP } & \text { F, CE } & \text { F, RP } & \text { M, CE } & \text { F, CE } \end{array}$
a. Create a contingency table for the data.
b. Perform a $\chi ^ { 2 }$ -test to determine if there is any evidence that gender and choice of research project or comprehensive exams are not independent. Use $\alpha = 0.05$ .