A university changed to a new learning management system during the past school year

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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	15	24	6
School of Science	34	7	2
School of Liberal Arts	21	19	5

Hypotheses:

Preference in learning management system is dependent on/independent of department.

Enter the expected matrix - round to 4 decimal places.

	Prefers Old LMS	Prefers New LMS	No Preference
School of Business
School of Science
School of Liberal Arts

After running an independence test, can it be concluded that preference in learning management system is dependent on department?

Yes/No