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.
-300 men and 300 women were selected and asked whether they planned to vote in the next election. The results of independent simple random samples are given in the table below, showing the voting intentions by gender. Use a 1% significance level to test the claim that there is a difference in the distribution of voting intentions for men and women. $$\begin{array} { r | r r } & \text { Men } & \text { Women } \\ \hline \text { Plan to vote } & 170 & 185 \\ \text { Do not plan to vote } & 130 & 115 \end{array}$$