A High School Offers These Statistics: 27% of Incoming Students

Multiple Choice

A high school offers these statistics: 27% of incoming students come from single-parent homes.
45% of incoming students come from single-parent homes eventually go on to get a college education.
59% of incoming students from two-parent homes eventually go on to get a college education.
Is there any evidence that an incoming student's chances to eventually get a college education depend on whether they come from a single parent or two parent home? Explain.

A) No,the probability of going on to get a college education does not depend on whether the student comes from a single-parent or a two-parent home.
B) Yes, P(single-parent home and college education) = (0.27) ∙ (0.45) ;
P(two-parent home and college education) = (0.73) ∙ (0.59) .
These are not equal.
C) Yes,the probability of going on to get a college education depends on whether the student comes from a single-parent or two-parent home. For students from single-parent homes,45% go on to get a college education.
For students from two-parent homes,59% go on to get a college education.
D) No,because P(single-parent home and college education) = P(single-parent home) ∙ P(college education) .
E) No,it is possible for both things to happen. P(single-parent home and college education) = (0.27) ∙ (0.45) .This is greater than zero.