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The file winter.mwx can be used to produce a contingency table giving the count of all competitors grouped by class and home or away status. This contingency table is shown in Table 1. A copy of this contingency table can be found in the file contingency.mwx. Using the counts in Table 1, the expected values in each category have been calculated and are shown in Table 2. Table 1 Number of competitors Table 2 Expected values Class Away Home Class Away Home Under 16 9 3 Under 16 6.27 5.73 16 to 29 20 26 16 to 29 24.04 21.96 30 to 39 20 12 30 to 39 16.72 15.28 40 to 49 26 41 40 to 49 35.01 31.99 50 to 59 26 49 50 to 59 39.19 35.81 60 and over 34 21 60 and over 28.74 26.26 Elite 39 7 Elite 24.04 21.96 (a) What is the probability that a randomly selected competitor is aged 50 or over (i.e. that they are in either the '50 to 59' class or the '60 and over' class)? (b) Given that a randomly selected competitor is a 'home' competitor, what is the probability that they are aged 50 or over (i.e. that they are in either the '50 to 59' class or the '60 and over' class)? (c) Is the event that a randomly selected competitor is aged 50 or over statistically independent from the event that a randomly selected competitor is a home competitor? Justify your answer Suppose a researcher is interested in using this sample to answer the following question: Is the distribution of competitors across the different classes the same for home competitors and away competitors? (d) Write down suitable null and alternative hypotheses. (e) Explain why it is valid to use the x² test for contingency tables in this case. (f) Using Minitab, or otherwise, carry out the x² test for contingency tables and interpret the results. You should explicitly state: The value of the test statistic ● The degrees of freedom Jung of CV5 and CV1

The file winter.mwx can be used to produce a contingency table giving the count of all competitors grouped by class and home or away status. This contingency table is shown in Table 1. A copy of this contingency table can be found in the file contingency.mwx. Using the counts in Table 1, the expected values in each category have been calculated and are shown in Table 2. Table 1 Number of competitors Table 2 Expected values Class Away Home Class Away Home Under 16 9 3 Under 16 6.27 5.73 16 to 29 20 26 16 to 29 24.04 21.96 30 to 39 20 12 30 to 39 16.72 15.28 40 to 49 26 41 40 to 49 35.01 31.99 50 to 59 26 49 50 to 59 39.19 35.81 60 and over 34 21 60 and over 28.74 26.26 Elite 39 7 Elite 24.04 21.96 (a) What is the probability that a randomly selected competitor is aged 50 or over (i.e. that they are in either the '50 to 59' class or the '60 and over' class)? (b) Given that a randomly selected competitor is a 'home' competitor, what is the probability that they are aged 50 or over (i.e. that they are in either the '50 to 59' class or the '60 and over' class)? (c) Is the event that a randomly selected competitor is aged 50 or over statistically independent from the event that a randomly selected competitor is a home competitor? Justify your answer Suppose a researcher is interested in using this sample to answer the following question: Is the distribution of competitors across the different classes the same for home competitors and away competitors? (d) Write down suitable null and alternative hypotheses. (e) Explain why it is valid to use the x² test for contingency tables in this case. (f) Using Minitab, or otherwise, carry out the x² test for contingency tables and interpret the results. You should explicitly state: The value of the test statistic ● The degrees of freedom Jung of CV5 and CV1

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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A,B,C please. Will do follow up questions for D,E,F
The file winter.mwx can be used to produce a contingency table giving the count of all competitors grouped by class and home or away status. This contingency table is shown in Table 1. A copy of this contingency table can be found in the file contingency.mwx. Using the counts in Table 1, the expected values in each category have been calculated and are shown in Table 2. Table 1 Number of competitors Table 2 Expected values Class Away Home Class Away Home Under 16 9 3 Under 16 6.27 5.73 16 to 29 20 26 16 to 29 24.04 21.96 30 to 39 20 12 30 to 39 16.72 15.28 40 to 49 26 41 40 to 49 35.01 31.99 50 to 59 26 49 50 to 59 39.19 35.81 60 and over 34 21 60 and over 28.74 26.26 Elite 39 7 Elite 24.04 21.96 (a) What is the probability that a randomly selected competitor is aged 50 or over (i.e. that they are in either the '50 to 59' class or the '60 and over' class)? (b) Given that a randomly selected competitor is a 'home' competitor, what is the probability that they are aged 50 or over (i.e. that they are in either the '50 to 59' class or the '60 and over' class)? (c) Is the event that a randomly selected competitor is aged 50 or over statistically independent from the event that a randomly selected competitor is a home competitor? Justify your answer Suppose a researcher is interested in using this sample to answer the following question: Is the distribution of competitors across the different classes the same for home competitors and away competitors? (d) Write down suitable null and alternative hypotheses. (e) Explain why it is valid to use the x² test for contingency tables in this case. (f) Using Minitab, or otherwise, carry out the x2 test for contingency tables and interpret the results. You should explicitly state: The value of the test statistic ● ● The degrees of freedom ● The p-value or the values of CV5 and CV1 Your conclusion from the test ●
Transcribed Image Text:The file winter.mwx can be used to produce a contingency table giving the count of all competitors grouped by class and home or away status. This contingency table is shown in Table 1. A copy of this contingency table can be found in the file contingency.mwx. Using the counts in Table 1, the expected values in each category have been calculated and are shown in Table 2. Table 1 Number of competitors Table 2 Expected values Class Away Home Class Away Home Under 16 9 3 Under 16 6.27 5.73 16 to 29 20 26 16 to 29 24.04 21.96 30 to 39 20 12 30 to 39 16.72 15.28 40 to 49 26 41 40 to 49 35.01 31.99 50 to 59 26 49 50 to 59 39.19 35.81 60 and over 34 21 60 and over 28.74 26.26 Elite 39 7 Elite 24.04 21.96 (a) What is the probability that a randomly selected competitor is aged 50 or over (i.e. that they are in either the '50 to 59' class or the '60 and over' class)? (b) Given that a randomly selected competitor is a 'home' competitor, what is the probability that they are aged 50 or over (i.e. that they are in either the '50 to 59' class or the '60 and over' class)? (c) Is the event that a randomly selected competitor is aged 50 or over statistically independent from the event that a randomly selected competitor is a home competitor? Justify your answer Suppose a researcher is interested in using this sample to answer the following question: Is the distribution of competitors across the different classes the same for home competitors and away competitors? (d) Write down suitable null and alternative hypotheses. (e) Explain why it is valid to use the x² test for contingency tables in this case. (f) Using Minitab, or otherwise, carry out the x2 test for contingency tables and interpret the results. You should explicitly state: The value of the test statistic ● ● The degrees of freedom ● The p-value or the values of CV5 and CV1 Your conclusion from the test ●
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