Discussion Question 1: Chi-Square Test as a Generalization At the end of Section 7.1, you have read an example about how x2 goodness-of-t test for two categories .s equivalent to the two-tailed test for a proportion (Ha : p 5% 0.5) based on the normal distribution. At the 3nd of Section 7.2, you have read an example about how X2 test for association for 2 x 2 table is equivalent :0 the two-tailed test for a difference in two proportions. In this discussion question, you are asked to check :his with your own example. (1) Find a problem that is in either one of the two following types: (3.) Conduct a statistical test for a proportion with two options such as the Penny Spins question in Example 7.8 (Section 6.1-HT and Unit C Exercises might be two good places to look for problems). Remember the alternative hypothesis must two sided with Ha : p 75 0.5). (b) Conduct a statistical test for a difference in proportions (with a 2 x 2 table) such as the Split or Steal question in Example 6.22 (Section 6.3-HT and Unit C Exercises might be two good places to look for problems). (2) Then solve the problem using the appropriate statistical test for proportion (in Case (a)) or for a difference in proportion (in Case (b)). Find the p-value. (3) Then use the appropriate X2 test to calculate the p-value of the same problem. Compare the two p-values. (4) If you have done your calculations correctly, you should have gotten the same p-values (up to a small rounding error)