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Independence Tests
13. Chi-Square Tests & Goodness of Fit / Independence Tests / Problem 3
Problem 3

A hospital administrator wants to know if there is a relationship between patient satisfaction (Satisfied, Unsatisfied) and type of insurance (Private, Public, None). The observed frequencies are:
PrivatePublicNoneSatisfied302515Unsatisfied102020\(\begin{array}{cccc}\) & \(\text{Private}\) & \(\text{Public}\) & \(\text{None}\)\\ \(\text{Satisfied}\) & 30 & 25 & 15\\ \(\text{Unsatisfied}\) & 10 & 20 & 20\\ & & & \(\end{array}\)
At α=0.05α = 0.05, test the claim that patient satisfaction and type of insurance are dependent.