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, 54 of the 72 mice trapped in the first area were in breeding condition, versus 10 of the 17 mice trapped in the second area. Estimate the difference between the proportions of mice ready to breed in good acorn years and bad acorn years. Let p1 and p2 be (respectively) the proportions of mice ready to breed in good acorn vears and t

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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, 54 of the 72 mice trapped in the first area were in breeding condition, versus
10 of the 17 mice trapped in the second area. Estimate the difference between the
proportions of mice ready to breed in good acorn years and bad acorn years.
Let p1 and p2 be (respectively) the proportions of mice ready to breed in good acorn
years and bad acorn years. Find the LOWER LIMIT(Lower value) of a 90%
confidence interval for p1-p2 .
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, 54 of the 72 mice trapped in the first area were in breeding condition, versus 10 of the 17 mice trapped in the second area. Estimate the difference between the proportions of mice ready to breed in good acorn years and bad acorn years. Let p1 and p2 be (respectively) the proportions of mice ready to breed in good acorn years and bad acorn years. Find the LOWER LIMIT(Lower value) of a 90% confidence interval for p1-p2 .
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