64% of Students at a University Live on Campus $- 1.68$

Multiple Choice

64% of students at a university live on campus. A random sample found that 28 of 45 male students and 39 of 50 of female students live on campus. At the 0.05 level of
Significance, is there sufficient evidence to support the claim that a difference exists
Between the proportions of male and female students who live on campus?

A) No, because the test value $- 1.68$ is inside the noncritical region $- 1.96 < z < 1.96$ .
B) Yes, because the test value $- 3.69$ is outside the noncritical region $- 1.96 < z < 1.96$ .
C) No, because the test value $- 0.84$ is inside the noncritical region $- 1.96 < z < 1.96$ .
D) Yes, because the test value $- 17.98$ is outside the noncritical region $- 1.96 < z < 1.96$ .