68% of students at a university live on campus. A random sample found that 24 of 40 male students and 43 of 55 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) Yes, because the test value -20.26 is outside the noncritical region -1.96

Question

68% of students at a university live on campus. A random sample found that 24 of 40 male students and 43 of 55 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) Yes, because the test value -20.26 is outside the noncritical region -1.96 < z < 1.96.
B) No, because the test value -0.96 is inside the noncritical region -1.96 < z < 1.96.
C) Yes, because the test value -4.21 is outside the noncritical region -1.96 < z < 1.96.
D) No, because the test value -1.92 is inside the noncritical region -1.96 < z < 1.96.

Quizplus · Accepted Answer

The Answer of 68% of students at a university live on campus. A random sample found that 24 of 40 male students and 43 of 55 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) Yes, because the test value -20.26 is outside the noncritical region -1.96 < z < 1.96.
B) No, because the test value -0.96 is inside the noncritical region -1.96 < z < 1.96.
C) Yes, because the test value -4.21 is outside the noncritical region -1.96 < z < 1.96.
D) No, because the test value -1.92 is inside the noncritical region -1.96 < z < 1.96.

68% of Students at a University Live on Campus