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.
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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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.
Company
Reputation Stock Purchase
Company A
1
Company B
Company C
Company D
Company E
Company F
Company G
Company H
Company I
Company J
OH :P, SO
2
OH:P >0
H₁₂ : P₂ = 0
3
OHP, 20
H₂: P <0
4
5
6
7
8
9
10
3
4
1
What is the p-value? (Round your
p-value=
2
9
5
10
(a) Compute the rank correlation between reputation and stock purchase. (Round your answer to three decimal places.)
's
6
(b) Test for a significant positive rank correlation.
State the null and alternative hypotheses.
OHP
= 0
8
7
OH: P = 0
H₁₂ : P₂ = 0
Find 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 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 o conclude that there is a significant positive rank correlation between a company's reputation and having stock that is desirable to purchase.
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