Question

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

(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 16 specimens of a particular species, 5 resprouted after fire. Estimate with 95% confidence the proportion of all shrubs of this species that will resprout after fire.

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Homework Answers

Answer #1

Solution :

Given that,

Point estimate = sample proportion = = x / n = 5 / 16 = 0.3125

1 - = 1 - 0.3125 = 0.6875

Z/2 = Z0.025 = 1.96

Margin of error = E = Z / 2 * (( * (1 - )) / n)

= 1.96 (((0.3125 * 0.6875) / 16)

= 0.227

A 95% confidence interval for population proportion p is ,

± E  

= 0.3125  ± 0.227

= ( 0.086, 0.540 )

confidence interval = 0.086 to 0.540

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