**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 neutrophils 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 neutropenia, 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?**- ○ p1 is substantially smaller than p2, therefore levofloxacin is effective in reducing the incidence of fever among cancer patients suffering from neutropenia. - ○ p1 is substantially larger than p2, therefore levofloxacin is effective in reducing the incidence of fever among cancer patients suffering from neutropenia.- ○ p1 is similar to p2, therefore levofloxacin is not effective in reducing the incidence of fever among cancer patients suffering from neutropenia

For the study: 375 patients received a daily dose of levofloxacin, and in the duration of…

Answered: Confidence Interval for the Difference…

Math

Statistics

Confidence Interval for the Difference in Two Population Proportions

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Concept explainers

Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.

Question

**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 neutrophils 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 neutropenia, 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?**

- ○ p1 is substantially smaller than p2, therefore levofloxacin is effective in reducing the incidence of fever among cancer patients suffering from neutropenia.

- ○ p1 is substantially larger than p2, therefore levofloxacin is effective in reducing the incidence of fever among cancer patients suffering from neutropenia.

- ○ p1 is similar to p2, therefore levofloxacin is not effective in reducing the incidence of fever among cancer patients suffering from neutropenia

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