In a Test for the Difference Between Two Proportions, the Sample

In a test for the difference between two proportions, the sample sizes were $n _ { 1 } = 79$ and $n _ { 2 } = 89$ , and the numbers of events were $x _ { 1 } = 51$ and $x _ { 2 } = 38$ . A test is made of the hypothesis $H _ { 0 } : p _ { 1 } = p _ { 2 }$ versus $H _ { 1 } : p _ { 1 } \neq p _ { 2 }$ . Compute the value of the test statistic.

A) 3.07
B) 2.83
C) 2.94
D) 2.91