# The results are below run a test for independence to

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The results are below. Run a test for independence to decide if the proportion of customers that will go out to eat on New Year’s Eve is dependent on location. Use α=0.05. NW Location NE Location SE Location Will Go Out 45 33 Won’t Go Out 23 29 36 25
Hypotheses: The choice to go out on New Year's Eve is independent of restaurant location. The choice to go out on New Year's Eve is dependent on restaurant location. Enter the test statistic - round to 4 decimal places.
Enter the P -Value - round to 4 decimal places.
Can it be concluded that the choice to go out on New Year's Eve is dependent on restaurant location?
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 independent of department. Preference in learning management system is dependent on department.
Enter the expected matrix Prefers Old LMS Prefers New LMS No Preference School of Business 236842 16.9173 4.3985 School of Science 22.6316 16.1654 4.2030 School of Liberal Arts 23.6842 16.9173 4.3985 After running an independence test, can it be concluded that preference in learning management system is dependent on department?
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 0.10 level of significance.