44. Let p1 denote the proportion of successes in a particular population. The test statistic value in Chapter 9 for testing H0: p1  p10 was z  ( 1  p10)/

, where p20  1  p10. Show that for the case k  2, the chi-squared statistic value of Section 13.1 satis es x2  z2. [Hint: First show that

(n1  n p10)2  (n2  n p20)2.]