A Professor Chose a Random Sample of 50 Recent Graduates

question 42

Essay

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 $\alpha = 0.05$ .

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Definitions:

Accessibility

Refers to the design of products, devices, services, or environments for people who experience disabilities, ensuring they can use them effectively.

Special Accommodations

Adjustments or modifications made to environments, tools, or policies to enable individuals with disabilities or special needs to participate fully.

Diverse Group

A collection of entities or individuals from varied backgrounds, cultures, or demographics.

Electronic Device

An electronic device is a gadget or piece of equipment operated by electric power, including computers, smartphones, and kitchen appliances.