Students in a Political Science Course Were Asked to Describe

question 27

Multiple Choice

Students in a political science course were asked to describe their politics as "Liberal","Moderate",or "Conservative." The results are listed in the table below,and a graphical display of the conditional distributions of sex among the three categories of politics is given. $$\begin{array}{l}\begin{array} { | l | c c c | c | } &\text { Politics }\\\hline \text { sex}& \text { Liberal } & \text { Moderate } & \text { Conservative } & \text { Total } \\\hline \text { Female } & 45 & 49 & 8 & 102 \\ & 64 & 53 & 29 & 146 \\\hline \text { Male } & 64 & 102 & 37 & 248 \\\hline \text { Total } & 109 & 148\end{array}\end{array}$$ The political science instructor states that sex and politics are independent.Is this an accurate statement? Explain.

• A)No.The percentage of males and females varies across political categories.The percentage of Liberals and Moderates who are female is approximately twice that of Conservatives who are female.This would suggest that sex and politics are not independent.
• B)No.The percentage of males and females varies across political categories.The percentage of Liberals and Moderates who are male is approximately twice that of Conservatives who are male.This would suggest that sex and politics are not independent.
• C)Yes.The percentage of males and females varies across political categories; however,there are more males in the class than females.There is not enough evidence to make an association between sex and politics.Sex and politics are independent.
• D)No.The percentage of males and females is similar across political categories.This would suggest that sex and politics are not independent.
• E)Yes.The percentage of males and females is similar across political categories.This would suggest that sex and politics are independent.

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Definitions:

Variable Costs

Variable costs are expenses that change in proportion to the activity or production level of a business.

Fixed Costs

Expenses that do not fluctuate with the level of goods or services produced by the business.

Net Income

The total earnings of a person or organization after subtracting all expenses and taxes.

Variable Costs

Costs that change in proportion to the level of activity or volume of production in a company.