Students in a Political Science Course Were Asked to Describe

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.