At a University in the U Do You Think That the College the Freshmen Will Be

At a university in the U.S.A.,the incoming freshmen were surveyed about their chosen majors.The university organized the data by placing the majors into the appropriate colleges.The table displays the results for males and females by colleges.A graphical display of the conditional distributions of colleges by gender is given. $\begin{array}{|l|rc} &\text { Gender }\\college& \text { Male } & \text { Female } \\\hline \text { College of Liberal Arts and Sciences } & 1809 & 1918 \\\text { College of Business } & 905 & 804 \\\text { College of Education } & 312 & 247 \\\text { College of Visual and Performing Arts } & 94 & 124 \\\hline\end{array}$ Do you think that the college the freshmen will be entering is independent of the gender of the student? Explain.

A) Yes.The conditional distributions of colleges by gender are similar.Since the distributions of colleges is essentially the same for males and females,there is evidence of an association between gender and colleges.
B) Yes.The conditional distributions of colleges by gender are similar.Since the distributions of colleges is essentially the same for males and females,there is no evidence of an association between gender and colleges.
C) No.The conditional distributions of colleges by gender vary.More male students will be entering the College of Business and the College of Education than female students.This is sufficient evidence of an association between gender and colleges.
D) No.The conditional distributions of colleges by gender are similar.Since the distributions of colleges is essentially the same for males and females,there is no evidence of an association between gender and colleges.
E) No.The conditional distributions of colleges by gender are similar.Since the distributions of colleges is essentially the same for males and females,there is evidence of an association between gender and colleges.