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Some shrubs have the useful ability to resprout from their roots after their top

ID: 3062897 • Letter: S

Question

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 20 specimens of a particular species, 5 resprouted after fire. Estimate with 99% confidence the proportion of all shrubs of this species that will resprout after fire. Interval:

Explanation / Answer

  Interval: =0.0006 ; 0.4994 ~ 0.00 ; 0.50

                                                                                           x                    =   5 sample size n                    = 20 sample proportion     p x/n= 0.2500 std error       =Se            =(p*(1-p)/n) = 0.0968 for 99 % CI value of z= 2.5758 margin of error E=z*std error                            = 0.249 lower confidence bound=sample proportion-margin of error 0.0006 Upper confidence bound=sample proportion+margin of error 0.4994
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