The table below lists the numbers of audience impressions (in hundreds of millions) listening to songs and the corresponding numbers of albums sold (in hundreds of thousands). Does it appear that album sales are affected very strongly by the number of audience impressions? Use a significance level of alpha equals 0.05. a. Find the value of the correlation coefficient. r Subscript s equals(Round to three decimal places as needed.) b. Determine the critical value(s) of the correlation coefficient.(Round to three decimal places as needed. Use a comma to separate answers as needed.) **Audience Impressions and Album Sales Data**The table below represents data on audience impressions and the corresponding number of albums sold:| | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 ||--------------|----|----|----|----|----|----|----|----|| **Audience Impressions** | 14 | 18 | 27 | 25 | 24 | 26 | 19 | 29 | 19 || **Albums Sold** | 7 | 10 | 15 | 6 | 13 | 14 | 8 | 18 | 8 |**Explanation:**- **Audience Impressions:** This row indicates the number of impressions or interactions by the audience. The values range from 14 to 29.- **Albums Sold:** This row shows the number of albums sold corresponding to the audience impressions. The sales figures vary between 6 and 18. The data can be used to analyze the relationship between audience engagement and album sales.

The question is about correlation Given : To find : Testing of correlation coefficientHere, total no. of x and y ( n ) = 9 Null and alt. hypo : H0 : ρs = 0H1 : ρs ≠0 To find : Correlation coefficient The formula is given by rs = n ∑ xy - ∑ x * ∑ y n ∑ x2 - ∑ x 2 * n ∑ y2 - ∑ y 2 = ( 9 * 2335 ) - ( 201 * 99 ) ( 9 * 4689 ) - ( 201 )2 * ( 9 * 1227 ) - ( 99 )2 = 11161800 * 1242rs = 0.746392 Rounding value to 3 dec. place as rs = 0.746 Critical value approach : As alt. hypo. has not equal to sign, so it is two tailed test df = n - 2 = 9 - 2 = 7 Given : level of signif. ( α ) = 0.05 Using table, Corresponding value to α = 0.05 and df = 7 is 0.666 Since it is two tailed test, there would be 2 critical values Critical value = -0.666, 0.666 Decision rule : If | r | > critical value then reject H0 otherwise fail to reject H0 Here, | r | > 0.666 Hence, reject H0 Conclusion : Reject the null hypo. There is appear to be correl. between no. of audience imp. and no. of albums sold