Let p1 denote the proportion of successes in a particularpopulation. The test statistic

Chapter 14, Problem 45

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Let p1 denote the proportion of successes in a particularpopulation. The test statistic value in Chapter 8 for testingH0: p1 5 p10 was z 5 sp 1 2 p10dyp10 p20yn, wherep20 5 1 2 p10. Show that for the case k 5 2, the chisquaredtest statistic value of Section 14.1 satisfies x2 5 z2.[Hint: First show that (n1 2 np10)2 5 (n2 2 np20)2.]

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