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a) What is the difference between a 2 -test of homogeneity and a 2 -test of independence? b) When should you use a paired sample

a) What is the difference between a 2 -test of homogeneity and a 2 -test of independence?

b) When should you use a paired sample test for means?

c) Why do you need to check if each cell contains at least 5 expected (or observed) counts when conducting a 2 -test?

d) What theorem are we relying on in order to conduct parametric hypothesis tests? State the theorem's name and the colloquial definition.

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