Question

# The Wall Street Journal Corporate Perceptions Study 2011 surveyed readers and asked how each rated the...

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. Quality of management is rated on a scale of exceptional, moderate, and needs improvement categorical scale. And company reputation is rated on a scale of excellent, good, and fair categorical scale. Assume the sample data for the respondents are below:

 Excellent Good Fair Exceptional 40 25 5 Moderate 35 38 10 Needs Improvement 25 10 15

To conduct a Chi-Square testing to analyze the independence of two variables, we must construct an expected frequency table. Provide the value that would go into the box with the ???

 Excellent Good Fair Exceptional Moderate Needs Improvement ??

Note: as always, enter your response in 4 decimal places.

 Excellent Good Fair Total Exceptional 40 25 5 70 Moderate 35 38 10 83 Needs improvement 25 10 15 50 Total 100 73 30 203

Now we will make the expected frequency table;

 Excellent Good Fair Exceptional (exceptional total * excellent total)/(grand total) = (70 * 100) / (203) = 34.4828 (Exceptional total * good total) / (grand total) = (70 * 73) / (203) = 25.1724 (70*30)/(203)=10.3448 Moderate (moderate total * excellent total) / (grand total) = (83 * 100) / (203) = 40.8867 (83 * 73) / (203) = 29.8473 (83 * 30) / (203) = 12.2660 Needs improvement (need improvement total * excellent total) / (grand total) = (50 * 100) / (203) = 24.6305 (50 * 73 ) / (203) = 17.9803 (50 * 30) * (203) = 7.3892

Expected value = for every cell multiply each row total by each column total and divide it by over all total.

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