Question

The table below lists the numbers of audience impressions (in hundreds of millions) listening to songs and the corresponding numbers of albums sold (inhundreds of thousands). Does it appear that album sales are affected very strongly by the number of audience impressions? Use a significance level of a 0.05. Audience Impressions 26 27 18 20 21 23 17 27 22 15 19 7 14 6 10 7 5 13 Albums Sold Determine the null and alternative hypotheses for this test. Choose the correct answer below. O B. Ho: rs 0 H rg 0 O D. Ho:rs 0 O A. Ho: Ps 0 H:Ps #0 O C. Ho: Ps 0 H: Ps 0 Find the value of the correlation coefficient. (Round to three decimal places as needed.) Determine the critical value(s) of the correlation coefficient. (Round to three decimal places as needed. Use a comma to separate answers as needed.) Choose the correct conclusion below. O A. Fail to reject the null hypothesis. There appears to be a correlation between the number of audience impressions and number of albu ms sold. O B. Reject the null hypothesis. There appears to be a correlation between the number of audience impressions and number of albums sold. O C. Fail to reject the null hypothesis. There does not appear to be a correlation between the number of audience impressions and number of albums sold. O D. Reject the null hypothesis. There does not appear to be a correlation between the number of audience impressions and number of albums sold. Click to select your answer(s).

Answer 1

y2 xy X 676 26 5 25 130 484 169 22 13 286 729 27 7 49 189 17 10 289 100 170 23 6 529 36 138 441 21 14 196 294 400 20 15 225 300 18 324 197 38809 3546 27 7 729 49 189 39658 201 274 4601 5242

Σχ 201 Σy 274 Σχ 4601 ΣΥ 39658 Σχν 5242 9 = 112 4601- (201)2 wwd 9 n 31316.2 39658- (274)2 9 n 201 274 -877.33 5242- y=xv-2x) (Ey), 9 w e n

(Ex)Ey Exy Correlation coefficient r n Cx)2 Ey)2 n n Sxy SxxSyy -877.33 112 31316.2 =-0.468 Test hypothesis Ho:ps 0 Ha ps 0 Option A Correlatibn coefficient r 0.468

Given a 0.05 Df-n-29-2=7 www TINV(0.05,7) rCritical (TINV(0.05,7)2+7 (using excel) 0.666 Since rT critical hence fail to reject the null hypothesis Option C is correct