To set up a simulation for this situation, we let each new strain dogwood tree be represented with a card. To set up the null hypothesis model, we take100 cards,green cards to represent seedlings that die within 3 years andwhite cards to representseedlings that do not. Shuffle the cards and drawcards with replacement representing the sample in the researcher's study.Record the proportion of ?v cards and call it pim Repeat this 3,000 times and plot the resulting sample proportions to construct the nulldistribution.3. Notice that Martin's observed proportion is 5% from the center of the null distribution. Suppose you use computer technology to simulate resultsunder the null hypothesis. After 3000 simulations, you find that:• 535 of the 3000 simulations fell more than 5% below the center of the nuli distribution, and• 538 of the 3000 simulations fell more than 5% above the center of the null distribution.Use the results of the simulation to calculate the p-value.4. Martin's colleague, Charlene, conducts a similar study in her city and obtains ap-value of 0.0575. Based on this p-value, Charlene hasv evidence that the null hypothesis model is not a good fit for her observed result.Help Entering AnswersPreview My AnswersSubmit AnswersPage penerated at 10/13/2021 at 0051pm EDTWoBWorko 1996-2010 theme math4-mu ww.version: WeBWork-2.14 pg.version PG-214 The WelWork Project Dogwood trees - Researchers studying dogwood trees found that 89% of the dogwood trees of a standard strain die within three years of planting ina particular industrial area. Martin, a researcher at a nearby university, is currently studying a new strain of dogwood tree, believed to be resistant to airpollution. In an initial phase of the study, Martin found that 50 seedlings of the new strain were planted in the area and 42 (84%) of them died in threeyears.1. Martin wants to know it the new strain of dogwood tree is more resistant to air pollution than the standard strain. He formulates the following nullhypothesis: The percentage of the new strain dogwood trees that die within three years is 89%, the same as the standard strain. What is theappropriate alternate hypothesis?OA. HA The percentage of new strain dogwood trees that die within three years is less than 89%.OB. HA The percentage of new strain dogwood trees that die within three years is more than 89%.OC. HA The percentage of new strain dogwood trees that die within three years is different than 89%.2. The paragraph below describes how we might perform a randomization-based hypothesis test for this scenario. Fill in the blanks and select theappropriate drop-down choices to correctly describe how the test could be conducted.To set up a simulation for this situation, we let each new strain dogwood tree be represented with a card. To set up the null hypothesis model, we take100 cards,green cards to represent seedlings that die within 3 years andwhite cards to representseedings that do not. Shuffle the cards and drawcards with replacement represeriting the sample in the researcher's study.Record the proportion of ?v cards and call it Pm Repeat this 3,000 times and plot the resulting sample proportions to construct the nulldistribution.3. Notice that Martin's observed proportion is 5% from the center of the nul distribution. Suppose you use computer technology to simulate resultsunder the null hypothesis. After 3000 simulations, you find that:• 535 ot the 3000 simulations fell more than 59% below the center of the null distribution, and• 538 of the 3000 simulations fell more than 5% above the centor of the null distribution.Use the results of the simulation to calculate the p-value.4. Martin's colleague. Charlene, conducts a similar study in her city and obtains ap-value of 0.0575. Based on this p-value, Charlene hasvevidence that the null hypothesis model is not a good fit for her observed resut.

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Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

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