Let p1 denote the proportion of successes in a particular

Let p1 denote the proportion of successes in a particular population. The test statistic value in Chapter 8 for testing H0: p1 = p10 was z = (1 - p10)/√p10p20/n, where p20 = 1 - p10. Show that for the case k = 2, the chi-squared test statistic value of Section 14.1 satisfies x2 = z2.

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Let p1 denote the proportion of successes in a particular population. The test statistic value in Chapter 8 for testing H0: p1 = p10 was z = (1 - p10)/√p10p20/n, where p20 = 1 - p10. Show that for the case k = 2, the chi-squared test statistic value of Section 14.1 satisfies x2 = z2.