Confidence Interval for the Difference in Two Population Proportions

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Confidence Interval for the Difference in Two Population Proportions
Neutropenia is an abnormally low number of neutrophils in the blood.
Chemotherapy often reduces the number of neutrphils to a level that makes
patients susceptible to fever and infections. G. Bucaneve et al. published a study
of such cancer patients in the paper "Levofloxacin to Prevent Bacterial Infection
in Patients With Cancer and Neutropenia" (New England Journal of Medicine,
Vol. 353, No. 10, pp. 977-987). For the study, 375 patients were randomly
assigned to receive a daily dose of levofloxacin, and 363 were given a placebo.
In the group receiving levofloxacin, fever was present in 243 patients for the
duration of neurtropenia, whereas fever was experienced by 308 patients in the
placebo group.
The 95% confidence interval for the difference in the two proportions is (-.2613,
-.1397).
Which interpretation is correct?
O p1 is substantially smaller than p2, therefore levofloxican is effective in reducing the
incidence of fever among cancer patients suffering from neurtropenia
p1 is substantially larger than p2, therefore levofloxican is effective in reducing the
incidence of fever among cancer patients suffering from neurtropenia.
p1 is similar to p2, therefore levofloxican is not effective in reducing the incidence of
fever among cancer patients suffering from neurtropenia
Transcribed Image Text:Confidence Interval for the Difference in Two Population Proportions Neutropenia is an abnormally low number of neutrophils in the blood. Chemotherapy often reduces the number of neutrphils to a level that makes patients susceptible to fever and infections. G. Bucaneve et al. published a study of such cancer patients in the paper "Levofloxacin to Prevent Bacterial Infection in Patients With Cancer and Neutropenia" (New England Journal of Medicine, Vol. 353, No. 10, pp. 977-987). For the study, 375 patients were randomly assigned to receive a daily dose of levofloxacin, and 363 were given a placebo. In the group receiving levofloxacin, fever was present in 243 patients for the duration of neurtropenia, whereas fever was experienced by 308 patients in the placebo group. The 95% confidence interval for the difference in the two proportions is (-.2613, -.1397). Which interpretation is correct? O p1 is substantially smaller than p2, therefore levofloxican is effective in reducing the incidence of fever among cancer patients suffering from neurtropenia p1 is substantially larger than p2, therefore levofloxican is effective in reducing the incidence of fever among cancer patients suffering from neurtropenia. p1 is similar to p2, therefore levofloxican is not effective in reducing the incidence of fever among cancer patients suffering from neurtropenia
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,