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...


An advertising firm wishes to demonstrate to potential clients the effectiveness of the advertising campaigns it has conducted. The firm is presenting data from<br>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<br>Español<br>regression equation relating the two variables cost of advertising campaign (denoted by x and written in millions of dollars) and resulting percentage increase in<br>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.<br>Using this information, test for a significant linear relationship between these two variables by doing a hypothesis test regarding the population slope B,.<br>(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<br>significance, and perform a two-tailed test. Then complete the parts below.<br>(If necessary, consult a list of formulas.)<br>Aa<br>(a) State the null hypothesis H, and the alternative hypothesis H,.<br>H :<br>H :0<br>D=0<br>(b) Determine the type of test statistic to use.<br>O20<br>O<O<br>(Choose one) ▼<br>(c) Find the value of the test statistic. (Round to three or more decimal places.)<br>(d) Find the p-value. (Round to three or more decimal places.)<br>(e) Based on the data, can we conclude (using the 0.05 level) that there is a<br>significant linear relationship between the cost of the advertising campaign<br>and the resulting percentage increase in sales?<br>Vor<br>No<br>

Extracted 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
Jun 10, 2022
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