# 10_07_11_1ans - Find the p-value of the appropriate test...

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STAT 409 Examples for 10/07/2011 (1) Fall 2011 Comparing Two Population Proportions H 0 : p 1 = p 2 Test Statistic: ( ) n n p p p p z = + - - 2 1 2 1 1 1 1 ˆ ˆ ˆ ˆ , where 2 1 2 2 1 1 2 1 2 1 ˆ ˆ ˆ n n p n p n n n p Y Y + + = + + = 1. In a comparative study of two new drugs, A and B, 120 patients were treated with drug A and 150 patients with drug B, and the following results were obtained. Drug A Drug B Cured 78 111 Not cured 42 39 Total 120 150 We wish to test whether drug B has a higher cure rate than drug A.
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Unformatted text preview: Find the p-value of the appropriate test. Claim: p A < p B H : p A = p B vs. H 1 : p A < p B 120 78 Y 1 1 1 ˆ = = n p = 0.65. 150 111 Y 2 2 2 ˆ = = n p = 0.74. 270 189 150 120 111 78 Y Y 2 1 2 1 ˆ = + + = + + = n n p = 0.70. Test Statistic: Z = +-⋅ ⋅ 150 1 120 1 30 . 70 . 74 . 65 . = – 1.60 . P-value: Left – tailed. P-value = P( Z < – 1.60 ) = 0.0548 ....
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