10_07_09ans - p A< p B H p A ≥ p B vs H 1 p A< p B...

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STAT 409 Examples for 10/07/2009 Fall 2009 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 54 87 Not cured 66 63 Total 120 150 We wish to test whether drug B has a higher cure rate than drug A. Find the p-value of the appropriate test. Claim:
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Unformatted text preview: p A < p B H : p A ≥ p B vs. H 1 : p A < p B 120 54 Y 1 1 1 ˆ = = n p = 0.45. 150 87 Y 2 2 2 ˆ = = n p = 0.58. 2 52 . ˆ 270 141 150 120 87 54 Y Y 2 1 2 1 = = + + = + + = n n p . Test Statistic: Z = +-⋅ ⋅ 150 1 120 1 7 47 . 2 52 . 58 . 45 . = – 2.125 . P-value: Left – tailed. P-value = P( Z < – 2.125 ) = 0.0168 ....
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