Question

A group of 175 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 49 21 Live off campus 28 77 Х x $ ? (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? O No, because the percentage found in part (c) is about the same as the percentage found in part (a). O 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 percent is found in Part B

Answer 1

Given the group of 175 college students who took math last term:

(a) You can identify in the table that the total number of students that passed math is:

$49+28=77$

Therefore, knowing the total number of students that were interviewed, you can determine that the percentage of the students who passed math is:

$\frac{77}{175}\cdot100=44\text{ \%}$

(b) Based on the data shown in the table, the total number of students who live on campus is:

$49+21=70$

Therefore, you can determine that the percentage of the students who live on campus is:

$\frac{70}{175}\cdot100=40\text{ \%}$

(c) You can identify that 49 students live on campus and passed math. Therefore, the percentage of the students who live on campus and passed math is:

$\frac{49}{49+28}\cdot100\approx63.6\text{ \%}$

(d) Knowing that 63.6% of the students who live on campus passed math, 40% of the student who live on campus, and 44% of the students interviewed passed math, you can identify that students who live on campus tend to pass math more often than average, because:

$63.6\text{ \%}>40\text{ \%}$

Hence, the answers are:

(a)

$44\text{ \%}$

(b)

$40\text{ \%}$

(c)

$63.6\text{ \%}$

(d) Last option.