Question

Entered Answer Preview Result Message -0.0872 -0.0872 incorrect The conditions for large-sample are not met 0.7538 0.7538 incorrect The conditions for large-sample are not met At least one of the answers above is NOT correct. (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 roo 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 12 specimens of a particular species, 4 resprouted after fire. Estimate with 99.8% confidence the proportion of all shrubs of this species that will resprout after fire. Interval: -0.0872 to 0.7538

Answer 1

for +4 sample ; add 2 in sample success and 4 in total sample size:

sample success x =		6
sample size n=		16
pt estiamte p̂ =x/n=		0.3750
se= √(p*(1-p)/n) =		0.1210
for 99.8 % CI value of z=		3.09
margin of error E=z*std error   =		0.3740
lower bound=p̂ -E                       =		0.0010
Upper bound=p̂ +E                     =		0.7490
from above 99.8% confidence interval for population proportion =(0.0010 to 0.7490)