Question

Making an inference usingig a two-way frequency tableA group of 150 college students who took math fost term were interviewed. They were asked whether they passed their math course and whether they live oncampus. Their responses are summarized in the following tablePassed math Failed mathve on campus2466Live off campus392152(a) What percentage of the students passed moth? []%(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 (e) is much greater than the percentage found in part (0)Yes, because the percentage found in part() is much greater than the percentage found in part (b)No, because the percentage found in part(e) is about the same as the percentage found in part (a).No, because the percentage found in part (5) is about the same as the percentage found in part (b).

Answer 1

1) Considering that there are 150 students

A) Adding 24+39 we got 63 students

150------------100%

63 ----------- x

x=6300/150

x= 42% of the students passed Math.

B) Adding the number of those students who live off-campus 39 +21

150 ----------------100%

60------------------ y

y=6000/150

y=40%

C) 60 students live off-campus 39 succeded. So we can write

60 --------- 100%

39 --------- z

z= 3900/60

z=65% passed math (off-campus)

D) Comparing that 65% of students who live off-campus passed math and that among those who live on campus and that 58% of all students failed

Then we can state:

A)