A study of the effects of acid rain on trees in a particular forest shows that 33 of 120 trees sampled exhibited some sort of damage from acid rain. This rate seemed to be higher than the 20​% quoted in a recent article on the average proportion of damaged trees in the Northeast. Does the sample suggest that trees in this forest are more susceptible than trees from the rest of the​ region? Comment, and write up your own conclusions based on an appropriate confidence interval as well as a hypothesis test. Include any assumptions you made about the data.   Determine which hypotheses will test if the trees in this Forest are more susceptible than trees from the rest of the region.   Determine which assumptions and conditions below are met. Select all that apply. A. The​ 10% condition is met.   B. The randomization condition is met.   C. The independence assumption is met.   D. The​ success/failure condition is met.   E. None of the assumptions and conditions are met.     Determine the test statistic.    Determine the​ P-value.   State your conclusion. Consider a​ P-value smaller than 0.05 to be low.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A study of the effects of acid rain on trees in a particular forest shows that 33 of 120 trees sampled exhibited some sort of damage from acid rain. This rate seemed to be higher than the 20​% quoted in a recent article on the average proportion of damaged trees in the Northeast. Does the sample suggest that trees in this forest are more susceptible than trees from the rest of the​ region? Comment, and write up your own conclusions based on an appropriate confidence interval as well as a hypothesis test. Include any assumptions you made about the data.
 
Determine which hypotheses will test if the trees in this Forest are more susceptible than trees from the rest of the region.
 
Determine which assumptions and conditions below are met. Select all that apply.
A.
The​ 10% condition is met.
 
B.
The randomization condition is met.
 
C.
The independence assumption is met.
 
D.
The​ success/failure condition is met.
 
E.
None of the assumptions and conditions are met.
 
 
Determine the test statistic. 
 
Determine the​ P-value.
 
State your conclusion. Consider a​ P-value smaller than 0.05 to be low.
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