Intro Stats, Books a la Carte Edition (5th Edition)
5th Edition
ISBN: 9780134210285
Author: Richard D. De Veaux, Paul Velleman, David E. Bock
Publisher: PEARSON
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Question
Chapter R, Problem 5.3RE
a.
To determine
Identify the type of study.
b.
To determine
Test whether there is evidence that the carbolic acid is effective in increasing the survival rate of the patients.
c.
To determine
Explain the reservation that arises in the design of the study.
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Surgery and germs. Joseph Lister (for whom Listerineis named!) was a British physician who was interestedin the role of bacteria in human infections. He suspectedthat germs were involved in transmitting infection, so hetried using carbolic acid as an operating room disinfectant.In 75 amputations, he used carbolic acid 40 times. Of the40 amputations using carbolic acid, 34 of the patientslived. Of the 35 amputations without carbolic acid,19 patients lived. The question of interest is whethercarbolic acid is effective in increasing the chances ofsurviving an amputation.a) What kind of a study is this?b) What do you conclude? Support your conclusion bytesting an appropriate hypothesis.c) What reservations do you have about the design ofthe study?
2.Two drug were tested on a group of 2000 people. The number of men and women in the study was the same. The following table represents the results of those tests.
Woman
Cure Rate
Men
Cure Rate
Drug A
5 of 100 cured
5/100=5%
400 of 800 cured
Drug B
101 of 900 cured
196 of 100 cured
(a) Complete the table with the cure rates. The first one has been done for you.
(b) Which drug appears to be more effective based on the cure rates found?
(c) What are the overall cure rates for each drug? Which drug appears to be more effective overall?
(d) If the results of (b) and (c) are the same, which drug appears to be better? If not, explain
You've found an odd mole growing on the inside of your elbow. You'd rather not think about it, but a close friend encourages you to have a doctor look at it. You feel better when you look online and see that only
about 196 of atypical moles are cancerous. But just in case, you make an appointment with a doctor. The doctor thinks the mole is suspicious and orders blood to be drawn for two tests, and it takes a few days for the
lab results to come back.
While waiting for the lab results you look up the reliability of the tests the doctor ordered.
• Test A has a sensitivity of 38.8% and a specificity of 99.9%
• Test B has a sensitivity of 86.2% and a specificity of 93.7%
Complete the table below for Test A showing how many patients, out of 1000, you would expect to have a true positive, a false positive, a true negative, and a false negative. Round all answers in the table to two decimals.
Test A
Positive Test
Negative Test
Total
Mole is
Cancerous
Mole is
Benign
Total
1000
QUESTION 2…
Chapter R Solutions
Intro Stats, Books a la Carte Edition (5th Edition)
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