Question: A national study by Harris Interactive evaluated the top technology companies and their reputations. The following shows how 10 technology companies ranked in reputation and how the companies ranked in percentages of respondents who said they would purchase the company's stock. A positive rank correlation is anticipated because it seems reasonable to expect that a company with a higher reputation would have the more desirable stock to purchase.

Company Reputation Stock Purchase

Microsoft 1 3

Intel 2 4

Dell 3 1

Lucent 4 2

Texas Instruments 5 9

Cisco Systems 6 5

Hewlet Packard 7 10

IBM 8 6

Motorola 9 7

Yahoo 10 8

a. Compare the rank correlation between reputation and stock purchase.

b. Test for a significant positive rank correlation. What is the p-value?

c. At a = .05, what is your conclusion?