Question

In: Statistics and Probability

The following data was collected from a random sample of Metropolis citizens: Most Hated Villain Joker...

The following data was collected from a random sample of Metropolis citizens:

Most Hated Villain
Joker Catwoman Doomsday Lex Luthor Other
Wonder Woman 22 36 25 20 26
Favorite Superman 13 15 34 35 21
Hero Batman 33 36 15 15 25
Other 16 14 12 20 20

Using a 'Test for Independence', decide at the 5% significance level if there is sufficient evidence of there being an association between 'Favorite Hero' and 'Most Hated Villain'. Be sure to show all steps to your hypothesis test including: the 2 hypotheses, verifying conditions, test statistic, p-value (or rejection region), and your conclusion in context. While you may put all that in the essay box answer here, this would be a good problem to write out and submit your solution via email. Note that you can use formula to calculate the test statistic, but using a calculator shortcut is just fine (and will save you time).

Solutions

Expert Solution

Conclusion:

There is sufficient evidence to conclude that there being being an association between 'Favorite Hero' and 'Most Hated Villain'


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