Perform a Chi-Square Homogeneity Test, Provided the Conditions for the Test

Essay

Perform a chi-square homogeneity test, provided the conditions for the test are met. Use the critical-value approach.
-At a high school debate tournament, half of the teams were asked to wear suits and ties and the rest were asked to wear jeans and t-shirts. The results of independent simple random samples are given in the table below. Test the hypothesis at the 5% significance level that the differently dressed debate teams are nonhomogeneous with respect to tournament wins/losses. $\begin{array} { r | r r } & \text { Win } & \text { Loss } \\ \hline \text { Suit } & 22 & 28 \\ \text { T-shirt } & 28 & 22 \end{array}$