A national study conducted by a market research firm, evaluated the top technology companies and their reputations. The following shows how 10 technology companies ranked in reputation andhow the companies ranked in percentage of respondents who said they would purchase the company's stock. A positive rank correlation is anticipated because it seems reasonable to expect that acompany with a higher reputation would have the more desirable stock to purchase.CompanyReputation Stock PurchaseCompany A1Company BCompany CCompany DCompany ECompany FCompany GCompany HCompany ICompany JOH :P, SO2OH:P >0H₁₂ : P₂ = 03OHP, 20H₂: P <045678910341What is the p-value? (Round yourp-value=29510(a) Compute the rank correlation between reputation and stock purchase. (Round your answer to three decimal places.)'s6(b) Test for a significant positive rank correlation.State the null and alternative hypotheses.OHP= 087OH: P = 0H₁₂ : P₂ = 0Find the value of the test statistic. (Round your answer to two decimal places.)swer to four decimal places.)(c) At a = 0.05, what is your conclusion?O Reject H. There is not sufficient evidence to conclude that there is a significant positive rank correlation between a company's reputation and having stock that is desirable to purchase.O Do not reject H. There is sufficient evidence to conclude that there is a significant positive rank correlation between a company's reputation and having stock that is desirable topurchase.O Do not reject H. There is not sufficient evidence to conclude that there is a significant positive rank correlation between a company's reputation and having stock that is desirable topurchase.O Reject H. There is sufficient evidence o conclude that there is a significant positive rank correlation between a company's reputation and having stock that is desirable to purchase.

The following information has been provided: Reputation (X) Stock Purchases(Y) 1 3 2 4 3…

A national study conducted by a market research firm, evaluated the top technology companies and their reputations. The following shows how 10 technology companies ranked in reputation and how the companies ranked in percentage 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. Reputation Stock Purchase Company Company A Company B Company C Company D Company E Company F Company G Company H Company I Company J (a) Compute the rank correlation between reputation and stock purchase. (Round your answer to three decimal places.) OH:P SO OH: P >0 H₁₂ : P₂ = 0 OH: P, ZO H₂: P < 0 1 OH: P₂0 2 3 4 5 6 7 8 9 10 3 4 1 2 9 5 10 (b) Test for a significant positive rank correlation. State the null and alternative hypotheses. OH : P = 0 6 8 7 H₂: P₁₂ = 0 Find the value of the test statistic. (Round your answer to two decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value = (c) At a = 0.05, what is your conclusion? O Reject H. There is not sufficient evidence to conclude that there is a significant positive rank correlation between a company's reputation and having stock that is desirable to purchase. O Do not reject H. There is sufficient evidence to conclude that there is a significant positive rank correlation between a company's reputation and having stock that is desirable to purchase. O Do not reject H. There is not sufficient evidence to conclude that there is a significant positive rank correlation between a company's reputation and having stock that is desirable to purchase. O Reject H. There is sufficient evidence to conclude that there is a significant positive rank correlation between a company's reputation and having stock that is desirable to purchase.

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 13PT