(a) State the null hypothesis H, and the alternative hypothesis H. H :0 H:0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Based on the data, can we conclude (using the 0.05 level) that there is a significant linear relationship between the cost of the advertising campaign and the resulting percentage increase in sales? Yes No

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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An advertising firm wishes to demonstrate to potential clients the effectiveness of the advertising campaigns it has conducted. The firm is presenting data from
8 recent campaigns, with the data indicating a correlation between advertising and sales. In particular, r= 0.59 for the variables cost of advertising campaign
and resulting percentage increase in sales for the 8 campaigns.
Using this information, test for a significant linear relationship between these two variables by doing a hypothesis test regarding the population correlation
coefficient p. (Assume that the two variables have a bivariate normal distribution.) Use the 0.05 level of significance, and perform a two-tailed test. Then
complete the parts below.
(If necessary, consult a list of formulas.)
Aa
(a) State the null hypothesis H and the alternative hypothesis H .
Ho :0
H :0
D=0
OSO
(b) Determine the type of test statistic to use.
Choose one) ▼
O<O
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the p-value. (Round to three or more decimal places.)
(e) Based on the data, can we conclude (using the 0.05 level) that there is a
significant linear relationship between the cost of the advertising campaign
and the resulting percentage increase in sales?
Yes
No
Transcribed Image Text:Español An advertising firm wishes to demonstrate to potential clients the effectiveness of the advertising campaigns it has conducted. The firm is presenting data from 8 recent campaigns, with the data indicating a correlation between advertising and sales. In particular, r= 0.59 for the variables cost of advertising campaign and resulting percentage increase in sales for the 8 campaigns. Using this information, test for a significant linear relationship between these two variables by doing a hypothesis test regarding the population correlation coefficient p. (Assume that the two variables have a bivariate normal distribution.) Use the 0.05 level of significance, and perform a two-tailed test. Then complete the parts below. (If necessary, consult a list of formulas.) Aa (a) State the null hypothesis H and the alternative hypothesis H . Ho :0 H :0 D=0 OSO (b) Determine the type of test statistic to use. Choose one) ▼ O<O (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Based on the data, can we conclude (using the 0.05 level) that there is a significant linear relationship between the cost of the advertising campaign and the resulting percentage increase in sales? Yes No
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