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(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 decim

(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 decim

MATLAB: An Introduction with Applications
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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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 an increase in sales for an increase in the amount of money spent on advertising. In particular, the least-squares Español regression equation relating the two variables cost of advertising campaign (denoted by x and written in millions of dollars) and resulting percentage increase in sales (denoted by y) for the 8 campaigns is y=6.70+0.19x, and the standard error of the slope of this least-squares regression line is approximately 0.13. Using this information, test for a significant linear relationship between these two variables by doing a hypothesis test regarding the population slope B,. (Assume that the variable y follows a normal distribution for each value of x and that the other regression assumptions are satisfied.) 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,. H : H :0 D=0 (b) Determine the type of test statistic to use. O20 O<O (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? Vor No
Transcribed Image Text: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 an increase in sales for an increase in the amount of money spent on advertising. In particular, the least-squares Español regression equation relating the two variables cost of advertising campaign (denoted by x and written in millions of dollars) and resulting percentage increase in sales (denoted by y) for the 8 campaigns is y=6.70+0.19x, and the standard error of the slope of this least-squares regression line is approximately 0.13. Using this information, test for a significant linear relationship between these two variables by doing a hypothesis test regarding the population slope B,. (Assume that the variable y follows a normal distribution for each value of x and that the other regression assumptions are satisfied.) 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,. H : H :0 D=0 (b) Determine the type of test statistic to use. O20 O<O (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? Vor No
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