a group of 150 college students who took math last term were interviewed. they were asked whether they…

a group of 150 college students who took math last term were interviewed. they were asked whether they passed their math course and whether they live on campus. their responses are summarized in the following table. passed math failed math live on campus 24 66 live off campus 39 21 (a) what percentage of the students passed math? % (b) what percentage of the students live off campus? % (c) what percentage of the students who live off campus passed math? % (d) is there evidence that students who live off campus tend to pass math more often than average? yes, because the percentage found in part (c) is much greater than the percentage found in part (a). yes, because the percentage found in part (c) is much greater than the percentage found in part (b). no, because the percentage found in part (c) is about the same as the percentage found in part (a). no, because the percentage found in part (c) is about the same as the percentage found in part (b).

a group of 150 college students who took math last term were interviewed. they were asked whether they passed their math course and whether they live on campus. their responses are summarized in the following table. passed math failed math live on campus 24 66 live off campus 39 21 (a) what percentage of the students passed math? % (b) what percentage of the students live off campus? % (c) what percentage of the students who live off campus passed math? % (d) is there evidence that students who live off campus tend to pass math more often than average? yes, because the percentage found in part (c) is much greater than the percentage found in part (a). yes, because the percentage found in part (c) is much greater than the percentage found in part (b). no, because the percentage found in part (c) is about the same as the percentage found in part (a). no, because the percentage found in part (c) is about the same as the percentage found in part (b).

Answer

Explanation:

Step1: Calculate total students who passed math

The number of students who passed math is (24 + 39=63). The total number of students is (150).

Step2: Calculate percentage of students who passed math

The percentage is (\frac{63}{150}\times100% = 42%).

Step3: Calculate total students who live off - campus

The number of students who live off - campus is (39 + 21 = 60).

Step4: Calculate percentage of students who live off - campus

The percentage is (\frac{60}{150}\times100%=40%).

Step5: Calculate percentage of students who live off - campus and passed math

The number of students who live off - campus and passed math is (39). The number of students who live off - campus is (60). The percentage is (\frac{39}{60}\times 100% = 65%).

Step6: Analyze if off - campus students pass more often

The percentage of all students who passed math is (42%) (from part a), and the percentage of off - campus students who passed math is (65%) (from part c). Since (65%>42%), off - campus students tend to pass math more often.

Answer:

(a) (42) (b) (40) (c) (65) (d) Yes, because the percentage found in part (c) is much greater than the percentage found in part (a).