a. Use a .05 level of significance and test for independence of the quality of m
ID: 3150445 • Letter: A
Question
a. Use a .05 level of significance and test for independence of the quality of management and the reputation of the company.
Compute the value of the 2 test statistic (to 2 decimals).
The p-value is - Select your answer -less than .005between .005 and .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 2
What is your conclusion?
- Select your answer -Conclude that the rating for the quality of management is not independent of the rating for the reputation of the company.Conclude that the rating for the quality of management is independent of the rating for the reputation of the company.Item 3
b. If there is a dependence or association between the two ratings, discuss and use probabilities to justify your answer.
- Select your answer -The highest probabilities are that the two variables will have the same ratings and associated.The highest probabilities are that the two variables will have the same ratings but not associated.The highest probabilities are that the two variables will not have the same ratings but not associated.Item 4
Explanation / Answer
a)
Doing an Expected Value Chart,
35 24.5 10.5
40 28 12
25 17.5 7.5
Using chi^2 = Sum[(O - E)^2/E],
chi^2 = 17.02806122 [ANSWER, CHI^2 TEST STATISTIC]
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With df = (a - 1)(b - 1), where a and b are the number of categories of each variable,
a = 3
b = 3
df = 4
Thus, the p value is
p < 0.005 [ANSWER, LESS THAN 0.005]
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What is your conclusion?
As P < 0.05,
Conclude that the rating for the quality of management is not independent of the rating for the reputation of the company. [ANSWER]
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b)
As P is very small, they seem to be associated.
The highest probabilities are that the two variables will have the same ratings and associated. [ANSWER, A]
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