Chapter 10 Two-Sample Hypothesis Tests

Chapter 10 Two-Sample Hypothesis Tests - Click to edit...

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Unformatted text preview: Click to edit Master subtitle style Professor Thomas R. Sexton Professor Thomas R. Sexton 11 Two-Sample Hypothesis Tests Professor Thomas R. Sexton College of Business Stony Brook University Professor Thomas R. Sexton Professor Thomas R. Sexton 22 Referral to Cardiac Rehabilitation Patients who have had a heart attack or cardiac surgery should be referred to a cardiac rehabilitation program. Does placing a physician reminder in the patients medical chart increase the likelihood of referral? No reminder: nB = 300, XB = 120, 40% referred Reminder: nA = 200, XA = 90, 45% referred Professor Thomas R. Sexton Professor Thomas R. Sexton 33 Our Test Statistic Our test should look like this: Question: What should we use for the SE of the difference in sample proportions? Professor Thomas R. Sexton Professor Thomas R. Sexton 44 The Pooled Proportion We have A = B under the null hypothesis. Therefore, we compute the pooled sample proportion: Professor Thomas R. Sexton Professor Thomas R. Sexton 55 The Test Statistic +-- = B A P P B A calc n n p p p p Z 1 1 ) 1 ( is statistic test The Professor Thomas R. Sexton Professor Thomas R. Sexton 66 Testing the Hypotheses Professor Thomas R. Sexton Professor Thomas R. Sexton 77 SX Dialog Box Professor Thomas R. Sexton Professor Thomas R. Sexton 88 SX Output Two-Sample Proportion Test Sample 1 Sample 2 Sample Size 200 300 Successes 90 120 Proportion 0.45000 0.40000 Null Hypothesis: P1 = P2 Alternative Hyp: P1 > P2 Difference 0.05000 SE (diff) 0.04506 Z (uncorrected) 1.11 P 0.1336 Z (corrected) 1.02 P 0.1545 Fisher's Exact 0.1545 95% Confidence Interval of Difference Lower Limit-0.03831 Upper Limit 0.13831 Professor Thomas R. Sexton Professor Thomas R. Sexton 99 Production Rework A company manufactures a sensitive motion detector and wants to reduce the rework rate. Before: 60 out of 400 units require rework. Company changes its production process. After: 50 out of 500 units require rework. Have the changes to the production process reduced the rework rate? Professor Thomas R. Sexton Professor Thomas R. Sexton 10 10 Testing the Hypotheses Professor Thomas R. Sexton Professor Thomas R. Sexton 11 11 SX Dialog Box Professor Thomas R. Sexton Professor Thomas R. Sexton 12 12 SX Output Two-Sample Proportion Test Sample 1 Sample 2 Sample Size 500 400 Successes 50 60 Proportion 0.10000 0.15000 Null Hypothesis: P1 = P2 Alternative Hyp: P1 < P2 Difference-0.05000 SE (diff) 0.02197 Z (uncorrected)-2.28 P 0.0114 Z (corrected)-2.17 P 0.0149 95% Confidence Interval of Difference Lower Limit-0.09377 Upper Limit-0.00623 Professor Thomas R....
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This note was uploaded on 09/17/2009 for the course BUS 215 taught by Professor Thomassexton during the Fall '09 term at SUNY Stony Brook.

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Chapter 10 Two-Sample Hypothesis Tests - Click to edit...

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