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The Wall Street Journal Corporate Perceptions Study 2011 surveyed readers and asked how each rated the quality of management and the reputation of the company for over 250 worldwide corporations. Both the quality of management and the reputation of the company were rated on an excellent, good, and fair categorical scale. Assume the sample data for 200 respondents below applies to this study. Reputation of Company Excellent Good Fair Quality of Management Excellent Good Fair 41 35 24 25 35 10 5 10 15 (a) Use a 0.05 level of significance and test for independence of the quality of management and the reputation of the company. State the null and alternative hypotheses. O Ho: Quality of management is independent of the reputation of the company. H: Quality of management is not independent of the reputation of the company. O Ho: Quality of management is independent of the reputation of the company. H: The proportion of companies with excellent management is equal across companies with differing reputations. O Ho: Quality of management is not independent of the reputation of the company. H: The proportion of companies with excellent management is not equal across companies with differing reputations. O Ho: Quality of management is not independent of the reputation of the company. H: Quality of management is independent of the reputation of the company. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value=

The Wall Street Journal Corporate Perceptions Study 2011 surveyed readers and asked how each rated the quality of management and the reputation of the company for over 250 worldwide corporations. Both the quality of management and the reputation of the company were rated on an excellent, good, and fair categorical scale. Assume the sample data for 200 respondents below applies to this study. Reputation of Company Excellent Good Fair Quality of Management Excellent Good Fair 41 35 24 25 35 10 5 10 15 (a) Use a 0.05 level of significance and test for independence of the quality of management and the reputation of the company. State the null and alternative hypotheses. O Ho: Quality of management is independent of the reputation of the company. H: Quality of management is not independent of the reputation of the company. O Ho: Quality of management is independent of the reputation of the company. H: The proportion of companies with excellent management is equal across companies with differing reputations. O Ho: Quality of management is not independent of the reputation of the company. H: The proportion of companies with excellent management is not equal across companies with differing reputations. O Ho: Quality of management is not independent of the reputation of the company. H: Quality of management is independent of the reputation of the company. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value=

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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The Wall Street Journal Corporate Perceptions Study 2011 surveyed readers and asked how each rated the quality of management and the reputation of the company for over 250 worldwide corporations. Both the quality of management and the reputation of the company were rated on an excellent, good, and fair categorical scale. Assume the sample data for 200 respondents below applies to this study. Reputation of Company Quality of Management Excellent Good Fair Excellent Good Fair 41 35 24 25 35 10 5 10 15 (a) Use a 0.05 level of significance and test for independence of the quality of management and the reputation of the company. State the null and alternative hypotheses. O Ho: Quality of management is independent of the reputation of the company. H₂: Quality of management is not independent of the reputation of the company. O Ho: Quality of management is independent of the reputation of the company. H₂: The proportion of companies with excellent management is equal across companies with differing reputations. O Ho: Quality of management is not independent of the reputation of the company. H₂: The proportion of companies with excellent management is not equal across companies with differing reputations. O Ho: Quality of management is not independent of the reputation of the company. Ha: Quality of management is independent of the reputation of the company. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value
Transcribed Image Text:The Wall Street Journal Corporate Perceptions Study 2011 surveyed readers and asked how each rated the quality of management and the reputation of the company for over 250 worldwide corporations. Both the quality of management and the reputation of the company were rated on an excellent, good, and fair categorical scale. Assume the sample data for 200 respondents below applies to this study. Reputation of Company Quality of Management Excellent Good Fair Excellent Good Fair 41 35 24 25 35 10 5 10 15 (a) Use a 0.05 level of significance and test for independence of the quality of management and the reputation of the company. State the null and alternative hypotheses. O Ho: Quality of management is independent of the reputation of the company. H₂: Quality of management is not independent of the reputation of the company. O Ho: Quality of management is independent of the reputation of the company. H₂: The proportion of companies with excellent management is equal across companies with differing reputations. O Ho: Quality of management is not independent of the reputation of the company. H₂: The proportion of companies with excellent management is not equal across companies with differing reputations. O Ho: Quality of management is not independent of the reputation of the company. Ha: Quality of management is independent of the reputation of the company. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value
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