A Researcher Wishes to Test Whether the Proportion of College

question 82

Essay

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

Mixed

Pertaining to costs or variables that have both fixed and variable components, changing with the level of activity but not directly proportional to it.

Selling Price

The cost at which consumers can purchase a product or service.

Contribution Margin

The amount remaining from sales revenue after all variable expenses have been deducted, indicating how much revenue is contributing to covering fixed expenses and generating profit.

Unit Sold

The total number of individual items or products that have been sold by a business during a given period.