At a University in the U

At a university in the U.S.A. ,the incoming freshman 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.

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 varies.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.