In the book Essentials of Marketing Research, William R. Dillon, Thomas J. Madden, and Neil A. Firtle discuss the relationship between delivery time and computer-assisted ordering. A sample of 40 firms shows that 16 use computer-assisted ordering, while 24 do not. Furthermore, past data are used to categorize each firm's delivery times as below the industry average, equal to the industry average, or above the industry average. The results obtained are given in the table below. A Contingency Table Relating Delivery Time and Computer-Assisted Ordering Computer- Assisted Ordering No Yes Column total Delivery Time Equal to Industry Average 12 Below Industry Average Above Industry Average 8 Row Total 4 24 10 4 16 40 14 16 10 Click here for the Excel Data File (a) Test the hypothesis that delivery time performance is independent of whether computer-assisted ordering is used. What do you conclude by setting a= .05? Reject HO. independence. (b) Verify that a chi-square test is appropriate. The test is valid because the number of cells exceeds the average of the Eij is greater than and the smallest Eij is greater than

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 80E
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In the book Essentials of Marketing Research, William R. Dillon, Thomas J. Madden, and Neil A. Firtle discuss the relationship
between delivery time and computer-assisted ordering. A sample of 40 firms shows that 16 use computer-assisted ordering, while
24 do not. Furthermore, past data are used to categorize each firm's delivery times as below the industry average, equal to the
industry average, or above the industry average. The results obtained are given in the table below.
A Contingency Table Relating Delivery Time and Computer-Assisted Ordering
Computer-
Assisted
Ordering
Below
Industry
Average
Delivery Time
Equal to
Industry
Average
12
Above
Industry
Average
8
Row
Total
No
4
24
Yes
Column total
10
4
16
40
14
16
10
Click here for the Excel Data File
(a) Test the hypothesis that delivery time performance is independent of whether computer-assisted ordering is used. What do you
conclude by setting a= .05?
Reject
HO. independence.
(b) Verify that a chi-square test is appropriate.
The test is valid because the number of cells exceeds
the average of the Eij is greater than
and the smallest Eij is greater than
Transcribed Image Text:In the book Essentials of Marketing Research, William R. Dillon, Thomas J. Madden, and Neil A. Firtle discuss the relationship between delivery time and computer-assisted ordering. A sample of 40 firms shows that 16 use computer-assisted ordering, while 24 do not. Furthermore, past data are used to categorize each firm's delivery times as below the industry average, equal to the industry average, or above the industry average. The results obtained are given in the table below. A Contingency Table Relating Delivery Time and Computer-Assisted Ordering Computer- Assisted Ordering Below Industry Average Delivery Time Equal to Industry Average 12 Above Industry Average 8 Row Total No 4 24 Yes Column total 10 4 16 40 14 16 10 Click here for the Excel Data File (a) Test the hypothesis that delivery time performance is independent of whether computer-assisted ordering is used. What do you conclude by setting a= .05? Reject HO. independence. (b) Verify that a chi-square test is appropriate. The test is valid because the number of cells exceeds the average of the Eij is greater than and the smallest Eij is greater than
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