A group of doctors published an article in the New England Journal of Medicine. In the article they revealed ne findings ofa study to determine if there is a difference in survival rates for men who undergo surgery for ocalized ssigned 731 men with localized prostate cancer to radical prostatectomy or observation. During the years of ollow-up, 245 of 367 (66.8%) assigned to surgery survived for at least 5 years and 223 of 364 men (61.3%) ssigned to observation survived for at least 5 prostate cancer and those who are treated with observation only. The researchers randomly years. a) Construct and interpret a 99% confidence interval for the difference in the true proportion of men like these that would survive for at least 5 years after receiving surgery and the proportion that would survive for at least 5 years when only being observed. b) Does the confidence interval provide convincing evidence that the true proportions differ? Justify your answer.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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1. A group of doctors published an article in the New England Journal of Medicine. In the article they revealed
the findings of a study to determine if there is a difference in survival rates for men who undergo surgery for
localized prostate cancer and those who are treated with observation only. The researchers randomly
assigned 731 men with localized prostate cancer to radical prostatectomy or observation. During the years of
follow-up, 245 of 367 (66.8%) assigned to surgery survived for at least 5 years and 223 of 364 men (61.3%)
assigned to observation survived for at least 5 years.
(a) Construct and interpret a 99% confidence interval for the difference in the true proportion of men like
these that would survive for at least 5 years after receiving surgery and the proportion that would survive
for at least 5 years when only being observed.
(b) Does the confidence interval provide convincing evidence that the true proportions differ? Justify your
answer.
Transcribed Image Text:1. A group of doctors published an article in the New England Journal of Medicine. In the article they revealed the findings of a study to determine if there is a difference in survival rates for men who undergo surgery for localized prostate cancer and those who are treated with observation only. The researchers randomly assigned 731 men with localized prostate cancer to radical prostatectomy or observation. During the years of follow-up, 245 of 367 (66.8%) assigned to surgery survived for at least 5 years and 223 of 364 men (61.3%) assigned to observation survived for at least 5 years. (a) Construct and interpret a 99% confidence interval for the difference in the true proportion of men like these that would survive for at least 5 years after receiving surgery and the proportion that would survive for at least 5 years when only being observed. (b) Does the confidence interval provide convincing evidence that the true proportions differ? Justify your answer.
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