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 400 men and 400 women was asked whether they planned to attend a concert in the next month. The results are listed below, showing the concert attendance status by gender. At the 5% significance level, test the claim that a difference exists in the distribution of concert attendance status among men and women. $$\begin{array} { l | c c } & \text { Men } & \text { Women } \\ \hline \text { Plan to attend concert } & 230 & 255 \\ \text { Don't plan to attend concert } & 170 & 145 \end{array}$$