OPENINTRO:STATISTICS
4th Edition
ISBN: 9781943450077
Author: OPENINTRO
Publisher: amazon.com
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Chapter 2.3, Problem 25E
(a)
To determine
Delineate the statement as true or false.
Explain the reasoning, if the statement is identified as false.
(b)
To determine
Obtain the proportion of all patients who have cardiovascular diseases.
(c)
To determine
Find the number of patients in the rosiglitazone group who would be expected to have had cardiovascular problems.
(d)
To determine
i. State the claim being tested.
ii. Identify the group that would provide more support from the alternative hypothesis, more or fewer patients with cardiovascular problems in the rosiglitazone group.
iii. Discuss the suggestion provided by the simulation results about the relationship between taking rosiglitazone and having cardiovascular problems in diabetic patients.
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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
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…
Side effects of Avandia - 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. The data is summarized in the contingency table below.
Cardiovascular problems
Yes
No
Total
Rosiglitazone
2,593
65,000
67,593
Pioglitazone
5,386
154,592
159,978
Total
7,979
219,592
227,571
1. What proportion of all patients had cardiovascular problems? Round your answer to four decimal places.
2. What is the difference in proportion of patients with cardiovascular problems between the…
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 22,757 Medicare beneficiaries aged 65 years or older, it was
found that 259 of the 6,759 patients using rosiglitazone and 539 of the 15,998 using pioglitazone had serious
cardiovascular problems. These data are summarized in the contingency table below.
Rosiglitazone
Pioglitazone
Total
Cardiovascular problems
Yes
No
259
539
a) Write a set of hypotheses comparing the rates for cardiovascular problems for the two treatments.
Ho: Pr-Pp ? 8
HA: P-Pp? B
Total
6,500
6,759
15,459
15,998
798 21,959 22,757
b) Compute the point estimate, the observed difference in rates for cardiovascular problems in the two
treatments.
Pr-Pp=
c)…
Chapter 2 Solutions
OPENINTRO:STATISTICS
Ch. 2.1 - Prob. 2GPCh. 2.1 - Prob. 3GPCh. 2.1 - Prob. 4GPCh. 2.1 - Prob. 5GPCh. 2.1 - Prob. 9GPCh. 2.1 - Prob. 10GPCh. 2.1 - Prob. 12GPCh. 2.1 - Prob. 13GPCh. 2.1 - Prob. 15GPCh. 2.1 - Prob. 16GP
Ch. 2.1 - Prob. 17GPCh. 2.1 - Prob. 19GPCh. 2.1 - Prob. 22GPCh. 2.1 - Prob. 1ECh. 2.1 - Prob. 2ECh. 2.1 - Prob. 3ECh. 2.1 - Prob. 4ECh. 2.1 - Prob. 5ECh. 2.1 - Prob. 6ECh. 2.1 - Prob. 7ECh. 2.1 - Prob. 8ECh. 2.1 - Prob. 9ECh. 2.1 - Prob. 10ECh. 2.1 - Prob. 11ECh. 2.1 - Prob. 12ECh. 2.1 - Prob. 13ECh. 2.1 - Prob. 14ECh. 2.1 - Prob. 15ECh. 2.1 - Prob. 16ECh. 2.1 - Prob. 17ECh. 2.1 - Prob. 18ECh. 2.1 - Prob. 19ECh. 2.1 - Prob. 20ECh. 2.2 - Prob. 23GPCh. 2.2 - Prob. 24GPCh. 2.2 - Prob. 28GPCh. 2.2 - Prob. 29GPCh. 2.2 - Prob. 21ECh. 2.2 - Prob. 22ECh. 2.2 - Prob. 23ECh. 2.2 - Prob. 24ECh. 2.3 - Prob. 31GPCh. 2.3 - Prob. 32GPCh. 2.3 - Prob. 34GPCh. 2.3 - Prob. 25ECh. 2.3 - Prob. 26ECh. 2 - Prob. 27CECh. 2 - Prob. 28CECh. 2 - Prob. 29CECh. 2 - Prob. 30CECh. 2 - Prob. 31CECh. 2 - Prob. 32CECh. 2 - Prob. 33CECh. 2 - Prob. 34CE
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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. Yes No Total Rosiglitazone 2,593 65,000 67,593 5,386 154,592 159,978 7,979 219,592 227,571 Pioglitazone Total a) What proportion of patients using Rosiglitazone had cardiovascular problems? b) What proportion of patients using Pioglitazone had cardiovascular problems? c) What is the point estimate for the difference of proportions of serious cardiovascular problems…arrow_forwardRosiglitazone 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. Treatment True Rosiglitazone Pioglitazone Total False Cardiovascular problems No 65,000 154,592 219,592 Yes 2,593 5,386 7,979 Determine if the following statements is true or false. Be careful: The reasoning may be wrong even if the statement's conclusion is correct. In such cases, the statement should be considered false. Total 67,593 159,978 227,571 True or False:…arrow_forwardAlthough arsenic is known to be a poison, it also has some beneficial medicinal uses. In one study of the use of arsenic to treat acute promyelocytic leukemia (APL), a rare type if blood cancer, APL patients were given an arsenic compound as part of their treatment. Of those receiving arsenic, 32% were in remission and showed no signs of leukemia in subsequent examination. It is known that 18% of APL patients go into remission after conventional treatment. Suppose that the study had included 100 randomly selected patients. Is there sufficient evidence to conclude that the proportion in remission for the arsenic treatment is greater than 0.18, the remission proportion for conventional treatment? a. Test the hypothesis at the 0.01 significance level. b. Construct and interpret a 99% confidence interval for the true proportion of APL patients who go into remission after using arsenic. Does the inference drawn from this interval match the conclusion from the test that you did in part…arrow_forward
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