a group of 220 college students who took math last term were interviewed. they were asked whether they…

a group of 220 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 66 22 live off campus 55 77 (a) what percentage of the students passed math? % (b) what percentage of the students live on campus? % (c) what percentage of the students who live on campus passed math? % (d) is there evidence that students who live on campus tend to pass math more often than average? 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). 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).

a group of 220 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 66 22 live off campus 55 77 (a) what percentage of the students passed math? % (b) what percentage of the students live on campus? % (c) what percentage of the students who live on campus passed math? % (d) is there evidence that students who live on campus tend to pass math more often than average? 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). 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).

Answer

Explanation:

Step1: Calculate total students passed math

$66 + 55=121$

Step2: Calculate percentage of students passed math

$\frac{121}{220}\times100% = 55%$

Step3: Calculate total students living on - campus

$66 + 22 = 88$

Step4: Calculate percentage of students living on - campus

$\frac{88}{220}\times100%=40%$

Step5: Calculate percentage of on - campus students who passed math

$\frac{66}{88}\times100% = 75%$

Step6: Analyze the relationship

The percentage of all students who passed math is $55%$ (from part a), and the percentage of on - campus students who passed math is $75%$ (from part c). Since $75%>55%$, students who live on campus tend to pass math more often than average.

Answer:

(a) $55$ (b) $40$ (c) $75$ (d) Yes, because the percentage found in part (c) is much greater than the percentage found in part (a).