Equivalent Tests A X 2 test involving a 2 X 2 table is equivalent to the test for the difference between two proportions, as described in Section 9-2. Using the table in Exercise 7, verify that the X...

Equivalent Tests
A X²
test involving a 2 X 2 table is equivalent to the test for the difference between two proportions, as described in Section 9-2. Using the table in Exercise 7, verify that the X²
 test statistic and the z test statistic (found from the test of equality of two  proportions) are related as follows:z²
= X². Also show that the critical values have that same relationship.

Exercise 7

Instant Replay in Tennis
The table below summarizes challenges made by tennis players in the first U.S. Open that used the Hawk-Eye electronic instant replay system. Use a 0.05 significance level to test the claim that success in challenges is independent of the gender of the player. Does either gender appear to be more successful?