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 tak 100 cards, green cards to represent seedlings that die within 3 years and white cards to represent seedlings that do not. Shuffle the cards and draw cards with replacement representing 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 null distribution. 3. Notice that Martin's observed proportion is 5% from the center of the null distribution. Suppose you use computer technology to simulate results under the null hypothesis. After 3000 simulations, you find that: • 535 of the 3000 simulations fell more than 5% below the center of the null 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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
icon
Related questions
Question
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 take
100 cards,
green cards to represent seedlings that die within 3 years and
white cards to represent
seedlings that do not. Shuffle the cards and draw
cards 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 null
distribution.
3. Notice that Martin's observed proportion is 5% from the center of the null distribution. Suppose you use computer technology to simulate results
under 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 has
v evidence that the null hypothesis model is not a good fit for her observed result.
Help Entering Answers
Preview My Answers
Submit Answers
Page penerated at 10/13/2021 at 0051pm EDT
WoBWorko 1996-2010 theme math4-mu ww.version: WeBWork-2.14 pg.version PG-214 The WelWork Project
Transcribed Image Text: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 take 100 cards, green cards to represent seedlings that die within 3 years and white cards to represent seedlings that do not. Shuffle the cards and draw cards 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 null distribution. 3. Notice that Martin's observed proportion is 5% from the center of the null distribution. Suppose you use computer technology to simulate results under 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 has v evidence that the null hypothesis model is not a good fit for her observed result. Help Entering Answers Preview My Answers Submit Answers Page penerated at 10/13/2021 at 0051pm EDT WoBWorko 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 in
a particular industrial area. Martin, a researcher at a nearby university, is currently studying a new strain of dogwood tree, believed to be resistant to air
pollution. 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 three
years.
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 null
hypothesis: The percentage of the new strain dogwood trees that die within three years is 89%, the same as the standard strain. What is the
appropriate 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 the
appropriate 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 take
100 cards,
green cards to represent seedlings that die within 3 years and
white cards to represent
seedings that do not. Shuffle the cards and draw
cards 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 null
distribution.
3. Notice that Martin's observed proportion is 5% from the center of the nul distribution. Suppose you use computer technology to simulate results
under 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 has
vevidence that the null hypothesis model is not a good fit for her observed resut.
Transcribed Image Text:Dogwood trees - Researchers studying dogwood trees found that 89% of the dogwood trees of a standard strain die within three years of planting in a particular industrial area. Martin, a researcher at a nearby university, is currently studying a new strain of dogwood tree, believed to be resistant to air pollution. 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 three years. 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 null hypothesis: The percentage of the new strain dogwood trees that die within three years is 89%, the same as the standard strain. What is the appropriate 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 the appropriate 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 take 100 cards, green cards to represent seedlings that die within 3 years and white cards to represent seedings that do not. Shuffle the cards and draw cards 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 null distribution. 3. Notice that Martin's observed proportion is 5% from the center of the nul distribution. Suppose you use computer technology to simulate results under 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 has vevidence that the null hypothesis model is not a good fit for her observed resut.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning