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.
-A researcher wishes to test whether the proportion of college students who smoke is the same in four different colleges. She uses independent simple random samples to select 100 students from each college and records the number that smoke. The results are shown below, showing smoking status and college. $\begin{array} { r | r r r r } & \text { College A } & \text { College B } & \text { College C } & \text { College D } \\ \hline \text { Smoke } & 17 & 26 & 11 & 34 \\ \text { Don't smoke } & 83 & 74 & 89 & 66 \end{array}$ Use a 1% significance level to test the claim that the distribution of smoking status is different at the four colleges.