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:

Specimen Slide

A thin slice of material, such as tissue, placed on a glass slide for examination under a microscope.

Stage

A specific phase or period in a process or the progression of an event or disease.

Oil-immersion Objective

A microscope lens designed to be used with a drop of oil to increase magnification and resolution of microscopic images.

High Magnification

Refers to the ability of an optical system, such as a microscope, to make small objects appear significantly larger, allowing for detailed observation.