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 compar 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 25 s 41 35 10 Good 35 Fair 24 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 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 Hạ: Quality of management is not independent of the reputation of the company. H: Quality of management is independent of the reputation of the company. O Hg: 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 Hạ: 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. Find the value of the test statistic. (Round your answer to three decimal places.) 17.0281 Find the p-value. (Round your answer to four decimal places.) p-value = 0019 State your conclusion. Do not reject H,. We cannot conclude that the rating for the quality of management is independent of the rating of the reputation of the сompany. O Reject Ho. We conclude that the rating for the quality of management is not independent of the rating for the reputation of the company. O Do not reject Hg. We cannot conclude that the ratings for the quality of management and the reputation of the company are not independent. O Reject Hg. We conclude that the rating for the quality of management is independent of the rating for the reputation of the company.
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 compar 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 25 s 41 35 10 Good 35 Fair 24 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 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 Hạ: Quality of management is not independent of the reputation of the company. H: Quality of management is independent of the reputation of the company. O Hg: 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 Hạ: 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. Find the value of the test statistic. (Round your answer to three decimal places.) 17.0281 Find the p-value. (Round your answer to four decimal places.) p-value = 0019 State your conclusion. Do not reject H,. We cannot conclude that the rating for the quality of management is independent of the rating of the reputation of the сompany. O Reject Ho. We conclude that the rating for the quality of management is not independent of the rating for the reputation of the company. O Do not reject Hg. We cannot conclude that the ratings for the quality of management and the reputation of the company are not independent. O Reject Hg. We conclude that the rating for the quality of management is independent of the rating for the reputation of the company.
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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