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Question

Secure https://www.mathdcon Student PlayerHomework.aspx?homeworkld-44873 835&questionld.9;&flushed; MATH-138-425 Statistics2017FA Banu Homework: Chapter 16 - Confidence Intervals for Pr Score: 0 of 1 pt 16.1.35 8or 9 (7 complete) Wildlife biologists inspect 154 deer taken by hunters and find 37 of them carrying ticks that test positive for Lyme disease. a) Create a 90% confidence interval for the percentage of deer that may carry such ticks to one decimal place as needed) Enter your answer in the edit fields and then click Check Answer parts OK to search

Explanation / Answer

p is given as 37/154=0.2403 and N is 154

for 90% confidence, the z value is 1.65

the lower limit is p-z*sqrt(p*(1-p)/N)=0.2403-1.65*sqrt(0.2403*(1-0.2403)/154)=0.18349 or 0.2

the upper limit is p+z*sqrt(p*(1-p)/N)=0.2403+1.65*sqrt(0.2403*(1-0.2403)/154)=0.29712 or 0.3

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