Question 15 of 20
1.0/ 1.0 Points
A university changed to a new learning management system during the past school year. The
school wants to find out how it’s working for the different departments – the results in preference
found from a survey are below. Run a test for independence at
α=0.05
Prefers Old LMS
Prefers New LMS
No Preference
School of Business
18
29
8
School of Science
41
11
4
School of Liberal Arts
25
20
7
After running an independence test, can it be concluded that preference in learning management
system is dependent on department?
.
A.
Yes, it can be concluded that preference in learning management system is dependent on
department because the p-value = 0.0017
B.

Yes, it can be concluded that preference in learning management system is dependent on
department because the p-value = 0.00085
C.
No, it cannot be concluded that preference in learning management system is dependent
on department because the p-value = 0.00085
D.
No, it cannot be concluded that preference in learning management system is dependent
on department because the p-value = 0.0017
Answer Key:B
Feedback:
We are running a Chi-Square Test for Independence. Copy and Paste the table into Excel. You
are given the Observed Counts in the table. We need to calculate the Expected Counts. Then
sum up the rows and column. You need to find the probability of the row and then multiple it by
the column total.
Prefers Old
LMS
Prefers New
LMS
No Preference
Sum
School of Business
18
29
8
55
School of Science
41
11
4
56
School of Liberal
Arts
25
20
7
52
Sum
84
60
19
163
Prefers Old
LMS
Prefers New
LMS
No Preference
School of Business
=84*(55/163)
=60*(55/163)
=19*(55/163)
School of Science
=84*(56/163)
=60*(56/163)
=19*(56/163)
School of Liberal
Arts
=84*(52/163)
=60*(52/163)
=19*(52/163)
Now that we calculated the Expected Count we can use Excel to find the p-value. Use
=CHISQ.TEST(highlight actual counts, highlight expected counts) = 0.00085

Question 16 of 20
1.0/ 1.0 Points
Click to see additional instructions
A high school runs a survey asking students if they participate in sports. The results are found
below. Run an independence test for the data at
α=0.01
Freshmen
Sophomores
Juniors
Seniors
Yes
75
88
55
42
No
30
28
38
40
Enter the
P
-Value - round to 4 decimal places. Make sure you put a 0 in front of the decimal.
0.0010
.