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Independence Tests
13. Chi-Square Tests & Goodness of Fit / Independence Tests / Problem 6
Problem 6

A researcher surveys a random sample of employees from two different companies regarding their satisfaction with workplace wellness programs. The responses are categorized as 'Satisfied', 'Neutral', or 'Dissatisfied'. The data are shown in the contingency table below:
SatisfiedNeutralDissatisfiedCompany X221513Company Y182017\begin{array}{cccc} & \text{Satisfied} & \text{Neutral} & \text{Dissatisfied}\\ \text{Company X} & 22 & 15 & 13\\ \text{Company Y} & 18 & 20 & 17\\ & & & \end{array}
At α=0.05\alpha=0.05, can you conclude that satisfaction with wellness programs is related to the company of employment? Perform a chi-square test for independence.