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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
Hypotheses: 
H0:  Pass/fail rates are _______school.
H1: Pass/fail rates are _______school.
Which of the following best fits the blank spaces above?
Question 14 options:


independent of; independent on


dependent of, dependent on


dependent of, independent on


independent of, dependent on






15.A local gym is looking in to purchasing more exercise equipment and runs a survey to find out the preference in exercise equipment amongst their members. They categorize the members based on how frequently they use the gym each month - the results are below. Run an independence test at the 0.01 level of significance.
Free Weights
Weight Machines
Endurance Machines
Aerobics Equipment
0-10 Uses
12
17
25
13
11-30 Uses
20
18
9
9
31+ Uses
26
12
11
9
Enter the test statistic - round to 4 decimal places.
___




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? 
Question 16 options:


No, it cannot be concluded that preference in learning management system is dependent on department because the p-value = 0.00085


Yes, it can be concluded that preference in learning management system is dependent on department because the p-value = 0.00085


No, it cannot be concluded that preference in learning management system is dependent on department because the p-value = 0.0017



-Yes, it can be concluded that preference in learning management system is dependent on department because the p-value = 0.0017

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