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 off campus	28	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?
\bigcirc no, because the percentage found in part (c) is about the same as the percentage found in part (a).
\bigcirc no, because the percentage found in part (c) is about the same as the percentage found in part (b).
\bigcirc yes, because the percentage found in part (c) is much greater than the percentage found in part (a).

Explanation:

Part (a)

Step1: Find total number of students

First, we need to find the total number of students. For live on campus: passed is 49, failed is 21. For live off campus: passed is 28, failed is 77. So total students = (49 + 21) + (28 + 77) = 70 + 105 = 175.

Step2: Find number of students who passed

Number of students who passed = 49 + 28 = 77.

Step3: Calculate percentage of students who passed

Percentage = (Number of passed students / Total number of students) 100 = (77 / 175) 100 = 44%.

Step1: Find total number of students

Total number of students is 175 (from part a).

Step2: Find number of students who live on campus

Number of students who live on campus = 49 + 21 = 70.

Step3: Calculate percentage of students who live on campus

Percentage = (Number of on - campus students / Total number of students) 100 = (70 / 175) 100 = 40%.

Step1: Find number of on - campus students who passed and total on - campus students

Number of on - campus students who passed is 49, total on - campus students is 49+21 = 70.

Step2: Calculate percentage of on - campus students who passed

Percentage=(49 / 70)*100 = 70%.

Answer:

44%

Part (b)