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

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.