A Researcher Wishes to Test Whether the Proportion of College

question 39

Essay

A researcher wishes to test whether the proportion of college students who smoke is the same in four different
colleges. She randomly selects 100 students from each college and records the number that smoke. The results
are shown below. $$\begin{array} { r | r r r r } & \text { College A } & \text { College B } & \text { College C } & \text { College D } \\\hline \text { Smoke } & 17 & 26 & 11 & 34 \\\text { Don't smoke } & 83 & 74 & 89 & 66\end{array}$$ Use a 0.01 significance level to test the claim that the proportion of students smoking is the same at all four
colleges.

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Definitions:

Middle Ear

The section of the ear located between the eardrum and the oval window, containing three small bones that transmit sound vibrations.

Partial Color Blindness

A condition where an individual has difficulty distinguishing between certain colors, as opposed to complete inability.

Protanopia

A type of color blindness characterized by the inability to distinguish between colors within the green-red spectrum due to the absence of red photoreceptors in the eyes.

Pulse Oximetry

Measuring the oxygen saturation of arterial blood in a subject by utilizing a sensor attached typically to a finger, toe, or ear to determine the percentage of oxyhemoglobin in blood pulsating through a network of capillaries and that typically sounds an alarm if the blood saturation becomes less than optimal.