1500 randomly selected pine trees were tested for traces of the Bark Beetle infestation. It was found that 153 of the trees showed such traces (= .102) Test the hypothesis that more than 10% of the Tahoe trees have been infested. Use a 5% (.05) level of significance.a) State the claim and the opposite H0: H1: What is the significance level? Calculate the test- statistic (use formula for proportions) What is the p-value? (remember to check if it is left, right or 2 tail) Do we reject or fail to reject H0? Which is the correct interpretation (circle the correct answer) There is enough evidence to support the claim that more than 10% of the trees have been infestedii) There is not enough evidence to support the claim that more than 10% of the trees have been infested

Givensample size(n)=1500x=153sample size(p^)=xn=1531500=0.102Level of significance=0.05

Answered: 1500 randomly selected pine trees were…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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1500 randomly selected pine trees were tested for traces of the Bark Beetle infestation. It was found that 153 of the trees showed such traces (= .102) Test the hypothesis that more than 10% of the Tahoe trees have been infested. Use a 5% (.05) level of significance.

a) State the claim and the opposite

H₀:
H₁:
What is the significance level?

Calculate the test- statistic (use formula for proportions)

What is the p-value? (remember to check if it is left, right or 2 tail)

Do we reject or fail to reject H₀?

Which is the correct interpretation (circle the correct answer)

There is enough evidence to support the claim that more than 10% of the trees have been infested
ii) There is not enough evidence to support the claim that more than 10% of the trees have been infested

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