(1 point) Some shrubs have the useful ability to resprout from their roots after

Question

(1 point) Some shrubs have the useful ability to resprout from their roots after their tops are destroyed. Fire is a particular threat to shrubs in dry climates, as it can injure the roots as well as destroy the aboveground material. One study of resprouting took place in a dry area of Mexico. The investigation clipped the tops of samples of several species of shrubs. In some cases, they also applied a propane torch to the stumps to simulate a fire. Of 17 specimens of a particular species, 4 resprouted after fire. Estimate with 99.9% confidence the proportion of all shrubs of this species that will resprout after fire. Interval to

Explanation / Answer

p is 4/17=0.2353

for 99.9 confidence the z value is 3

thus the lower limit is p-z*sqrt(p*(1-p)/N)=0.2353-3.3*sqrt(0.2353*(1-0.2353)/17)=-0.1042

upper limit is p+z*sqrt(p*(1-p)/N)=0.2353+3.3*sqrt(0.2353*(1-0.2353)/17)=0.5748

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