Lyme disease is spread in the northeastern United States by infected ticks. The ticks are infected mainly by feeding on mice, so more mice result in more infected ticks. The mouse population in turn rises and falls with the abundance of acorns, their favored food. Experimenters studied two similar forest areas in a year when the acorn crop failed. They added hundreds of thousands of acorns to one area to imitate an abundant acorn crop, while leaving the other area untouched. The next spring, 55 of the 77 mice trapped in the first area were in breeding condition, versus 10 of the 18 mice trapped in the second area. Give a 99% confidence interval for the difference between the proportion of mice ready to breed in good acorn years and bad acorn years. Follow the Inference Toolbox. lower bound upper bound

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Lyme disease is spread in the northeastern United States by infected ticks. The ticks are infected mainly by feeding on
mice, so more mice result in more infected ticks. The mouse population in turn rises and falls with the abundance of
acorns, their favored food. Experimenters studied two similar forest areas in a year when the acorn crop failed. They added
hundreds of thousands of acorns to one area to imitate an abundant acorn crop, while leaving the other area untouched.
The next spring, 55 of the 77 mice trapped in the first area were in breeding condition, versus 10 of the 18 mice trapped in
the second area. Give a 99% confidence interval for the difference between the proportion of mice ready to breed in good
acorn years and bad acorn years. Follow the Inference Toolbox.
lower bound
upper bound
high
t ho
Transcribed Image Text:Lyme disease is spread in the northeastern United States by infected ticks. The ticks are infected mainly by feeding on mice, so more mice result in more infected ticks. The mouse population in turn rises and falls with the abundance of acorns, their favored food. Experimenters studied two similar forest areas in a year when the acorn crop failed. They added hundreds of thousands of acorns to one area to imitate an abundant acorn crop, while leaving the other area untouched. The next spring, 55 of the 77 mice trapped in the first area were in breeding condition, versus 10 of the 18 mice trapped in the second area. Give a 99% confidence interval for the difference between the proportion of mice ready to breed in good acorn years and bad acorn years. Follow the Inference Toolbox. lower bound upper bound high t ho
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