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STATE: Lyme disease is spread in the northeastern United States by infected ticks. The ticks are infected mainly by feeding on mice, so more mice

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STATE: 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 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 rst 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. (Use 90% condence. Be sure to justify your choice of condence interval.) Clive G. Jones et 31., "Chain reactions linking acorns to gypsy moth outbreaks and Lyme disease risk," Science, 279 (1998), pp. 10231026. SOLVE: Use the plus four method to nd 131 , fag , and the upper and lower bound of the 90% condence interval. Give your answers to four decimal places. \"5 || upper bound

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