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

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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 | Equal to Industry Average | Above Industry Average | Row Total |
|----------------------------|------------------------|---------------------------|------------------------|-----------|
| **No**                     | 4                      | 12                        | 8                      | 24        |
| **Yes**                    | 10                     | 4                         | 2                      | 16        |
| **Column total**           | 14                     | 16                        | 10                     | 40        |

[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 α = 0.05?

- **Reject** H₀, 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 | Equal to Industry Average | Above Industry Average | Row Total | |----------------------------|------------------------|---------------------------|------------------------|-----------| | **No** | 4 | 12 | 8 | 24 | | **Yes** | 10 | 4 | 2 | 16 | | **Column total** | 14 | 16 | 10 | 40 | [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 α = 0.05? - **Reject** H₀, 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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