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Rosiglitazone is the active ingredient in the controversial type 2 diabetes medicine Avandia and has been linked to an increased risk of serious cardiovascular problems such as stroke, heart failure, and death. A common alternative treatment is pioglitazone, the active ingredient in a diabetes medicine called Actos. In a nationwide retrospective observational study of 227,571 Medicare beneficiaries aged 65 years or older, it was found that 2,593 of the 67,593 patients using rosiglitazone and 5,386 of the 159,978 using pioglitazone had serious cardiovascular problems. These data are summarized in the contingency table below. Cardiovascular problems Yes No Total Rosiglitazone 2,593 65,000 Pioglitazone 5,386| 154,592 159,978 7,979 219,592 227,571 67,593 Total a) Write a set of hypotheses comparing the rates for cardiovascular problems for the two treatments. Но: р, — рp ? HA: Pr – Pp ? v b) Compute the point estimate, the observed difference in rates for cardiovascular problems in the two treatments. P, - P = %3D р. (1 — р.) P„(1 – ê,) c) Compute the standard error. (SE = with n, = number in the Пр Rosiglitazone group and n, = number in the Pioglitazone group.) The standard error is d) Using the point estimate and standard error above, compute the test statistic and two-sided p-value. The test statistic is The p-value O The p-value < .001 (Choose p < .001 for small p-values.) e) Write a suitable conclusion based on your p-value.

Rosiglitazone is the active ingredient in the controversial type 2 diabetes medicine Avandia and has been linked to an increased risk of serious cardiovascular problems such as stroke, heart failure, and death. A common alternative treatment is pioglitazone, the active ingredient in a diabetes medicine called Actos. In a nationwide retrospective observational study of 227,571 Medicare beneficiaries aged 65 years or older, it was found that 2,593 of the 67,593 patients using rosiglitazone and 5,386 of the 159,978 using pioglitazone had serious cardiovascular problems. These data are summarized in the contingency table below. Cardiovascular problems Yes No Total Rosiglitazone 2,593 65,000 Pioglitazone 5,386| 154,592 159,978 7,979 219,592 227,571 67,593 Total a) Write a set of hypotheses comparing the rates for cardiovascular problems for the two treatments. Но: р, — рp ? HA: Pr – Pp ? v b) Compute the point estimate, the observed difference in rates for cardiovascular problems in the two treatments. P, - P = %3D р. (1 — р.) P„(1 – ê,) c) Compute the standard error. (SE = with n, = number in the Пр Rosiglitazone group and n, = number in the Pioglitazone group.) The standard error is d) Using the point estimate and standard error above, compute the test statistic and two-sided p-value. The test statistic is The p-value O The p-value < .001 (Choose p < .001 for small p-values.) e) Write a suitable conclusion based on your p-value.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Tan/ page Rosiglitazone is the active ingredient in the controversial type 2 diabetes medicine Avandia and has been linked to an increased risk of serious cardiovascular problems such as stroke, heart failure, and death. A common alternative treatment is pioglitazone, the active ingredient in a diabetes medicine called Actos. In a nationwide retrospective observational study of 227,571 Medicare beneficiaries aged 65 years or older, it was found that 2,593 of the 67,593 patients using rosiglitazone and 5,386 of the 159,978 using pioglitazone had serious cardiovascular problems. These data are summarized in the contingency table below. Cardiovascular problems Yes No Total Rosiglitazone 2,593 65,000 Pioglitazone 5,386 154,592 159,978 67,593 Total 7,979 219,592 227,571 a) Write a set of hypotheses comparing the rates for cardiovascular problems for the two treatments. Но: р, — рp? На: р, — Рp ? Compute the point estimate, the observed difference in rates for cardiovascular problems in the two treatments. P, - Pp = р, (1 — р,) Pp(1 – P,) c) Compute the standard error. (SE = with n, = number in the Пр Rosiglitazone group and np = number in the Pioglitazone group.) The standard error is d) Using the point estimate and standard error above, compute the test statistic and two-sided p-value. The test statistic is O The p-value The p-value < .001 (Choose p < .001 for small p-values.) e) Write a suitable conclusion based on your p-value. JWe cheuldlceloet on on wer the puIl bunethecic There ISeleet en onewe lencethat
Transcribed Image Text:Tan/ page Rosiglitazone is the active ingredient in the controversial type 2 diabetes medicine Avandia and has been linked to an increased risk of serious cardiovascular problems such as stroke, heart failure, and death. A common alternative treatment is pioglitazone, the active ingredient in a diabetes medicine called Actos. In a nationwide retrospective observational study of 227,571 Medicare beneficiaries aged 65 years or older, it was found that 2,593 of the 67,593 patients using rosiglitazone and 5,386 of the 159,978 using pioglitazone had serious cardiovascular problems. These data are summarized in the contingency table below. Cardiovascular problems Yes No Total Rosiglitazone 2,593 65,000 Pioglitazone 5,386 154,592 159,978 67,593 Total 7,979 219,592 227,571 a) Write a set of hypotheses comparing the rates for cardiovascular problems for the two treatments. Но: р, — рp? На: р, — Рp ? Compute the point estimate, the observed difference in rates for cardiovascular problems in the two treatments. P, - Pp = р, (1 — р,) Pp(1 – P,) c) Compute the standard error. (SE = with n, = number in the Пр Rosiglitazone group and np = number in the Pioglitazone group.) The standard error is d) Using the point estimate and standard error above, compute the test statistic and two-sided p-value. The test statistic is O The p-value The p-value < .001 (Choose p < .001 for small p-values.) e) Write a suitable conclusion based on your p-value. JWe cheuldlceloet on on wer the puIl bunethecic There ISeleet en onewe lencethat
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