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Use the following information to answer the following three questions. You have heard that in sports like boxing there might be some competitive advantage to those wearing red uniforms. You want to test this with your new favorite sport of chess-boxing. You randomly assign blue and red uniforms to contestants in 20 matches and find that those wearing red won 14 times (or 70%). You conduct a test of significance using simulation and get the following null distribution. (Note this null distribution uses only 100 simplated samples and not the usual 1,000 or more.) 18 Probability of success (n): 0.5 Sample size (n): 20 12 Number of samples: 100 Animate: D Draw Samples Total = 100 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.4.4 One-sided or two? a. Suppose you want to see if competitors wearing red win more than 50% of the matches in the long run, so you test H: r= 0.50 versus H: > 0.50. What is your p-value based on the above null distribution? b. Suppose you now want to see if competitors wearing either red or blue have an advantage, so you test H: = 0.50 versus H,: 0.50. What is your p-value now based on the above null distribution? ofori d ind thnt nml.^

Use the following information to answer the following three questions. You have heard that in sports like boxing there might be some competitive advantage to those wearing red uniforms. You want to test this with your new favorite sport of chess-boxing. You randomly assign blue and red uniforms to contestants in 20 matches and find that those wearing red won 14 times (or 70%). You conduct a test of significance using simulation and get the following null distribution. (Note this null distribution uses only 100 simplated samples and not the usual 1,000 or more.) 18 Probability of success (n): 0.5 Sample size (n): 20 12 Number of samples: 100 Animate: D Draw Samples Total = 100 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.4.4 One-sided or two? a. Suppose you want to see if competitors wearing red win more than 50% of the matches in the long run, so you test H: r= 0.50 versus H: > 0.50. What is your p-value based on the above null distribution? b. Suppose you now want to see if competitors wearing either red or blue have an advantage, so you test H: = 0.50 versus H,: 0.50. What is your p-value now based on the above null distribution? ofori d ind thnt nml.^

MATLAB: An Introduction with Applications
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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Use the following information to answer the following three questions. You have heard that in sports like boxing there might be some competitive advantage to those wearing red uniforms. You want to test this with your new favorite sport of chess-boxing. You randomly assign blue and red uniforms to contestants in 20 matches and find that those wearing red won 14 times (or 70%). You conduct a test of significance using simulation and get the following null distribution. (Note this null distribution uses only 100 simpılated samples and not the usual 1,000 or more.) 18 Probability of success (n): 0.5 Sample size (n): 20 12 Number of samples: 100 Animate: D Draw Samples Total = 100 0.10 0.20 0.30 0,40 0,50 0.60 0,70 0.80 0.90 1.4.4 One-sided or two? a. Suppose you want to see if competitors wearing red win more than 50% of the matches in the long run, so you test H9: R = 0.50 versus H: > 0.50. What is your p-value based on the above null distribution? b. Suppose you now want to see if competitors wearing either red or blue have an advantage, so you test H: = 0.50 versus H,: * # 0.50. What is your p-value now based on the above null distribution? oforAand ind hat n ml.
Transcribed Image Text:Use the following information to answer the following three questions. You have heard that in sports like boxing there might be some competitive advantage to those wearing red uniforms. You want to test this with your new favorite sport of chess-boxing. You randomly assign blue and red uniforms to contestants in 20 matches and find that those wearing red won 14 times (or 70%). You conduct a test of significance using simulation and get the following null distribution. (Note this null distribution uses only 100 simpılated samples and not the usual 1,000 or more.) 18 Probability of success (n): 0.5 Sample size (n): 20 12 Number of samples: 100 Animate: D Draw Samples Total = 100 0.10 0.20 0.30 0,40 0,50 0.60 0,70 0.80 0.90 1.4.4 One-sided or two? a. Suppose you want to see if competitors wearing red win more than 50% of the matches in the long run, so you test H9: R = 0.50 versus H: > 0.50. What is your p-value based on the above null distribution? b. Suppose you now want to see if competitors wearing either red or blue have an advantage, so you test H: = 0.50 versus H,: * # 0.50. What is your p-value now based on the above null distribution? oforAand ind hat n ml.
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