7/28/2019 Statistics Formula Review 3

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Inferential Statistics Formula ReviewI. Large sample hypothesis testing J12Ho : J 11= J12and H1 : J11 :I; J12

Ho : P ~ x and H1 : P < xHo : P ::; x and H1 : P > xHo : P = x and H1 : P :I;xP is the hypothesizedpopulation proportion.

- Total successes X1+ X2Pw = Total sampled = n1+ n2

t= )(1-)(2 and 5 2 - (n1-1)S~+(nr1)S28 2(11 ) w- 2w n.j"+ n2 n1+ n2 - 2 and df = n1+ n2 - 2

136

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7/28/2019 Statistics Formula Review 3

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C. Two sample means from dependent populations (paired differencetest)1. One- and two-tail pr~blems may be analyzed.2. The test statistic is d.t = s~ and Sd =jff

L d2-