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 P-value approach.
-An independent simple random sample of 100 employees from 5 different companies was selected, and the number who take public transportation to work was recorded. The results are listed below, showing public transportation status and the five companies. At the 1% significance level, test the claim that employees of the five companies are nonhomogeneous with respect to public transportation status. $$\begin{array} { l | c c c c c } & { \text { Companies } } \\\hline & 1 & 2 & 3 & 4 & 5 \\\text { Use Public Trans. } & 18 & 25 & 12 & 33 & 22 \\\text { Don't Use Public Trans. } & 82 & 75 & 88 & 67 & 78\end{array}$$