A magazine tested LCD televisions. The table below shows the overall quality score and cost in hundreds of dollars. Use the rank correlation coefficient to test for a correlation between the two variables. Use a significance level of a = 0.01. Based on these results, can you expect to get higher quality by purchasing a more expensive LCD television? Quality 79 75 74 71 67 66 64 61 61 58 57 o Cost | 27 31 40 23 19 14 27 23 15 14 19 Spearman's Rank Correlation Coefficient Click the icon to view the critical values of Spearman's rank correlation coefficient. Determine the null and alternative hypotheses for this test. Choose the correct answer below. OA. Ho:-0 OC. Ho:r, 40 H:r,0 a/2 a/2 -1 -r. 1 Critical Values of Spearman's Rank Correlation Coefficient r, a- 0.05 a- 0.02 a- 0.01 a- 0.10 900 829 943 714 786 893 929 8 543 738 833 881 800 700 783 833 10 564 648 745 794 11 536 618 709 755 12 503 587 678 727

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A magazine tested LCD televisions. The table below shows the overall quality score and cost in hundreds of dollars. Use the rank correlation coefficient to test for a correlation between the two variables. Use a significance level of a = 0.01. Based on these results, can you
expect to get higher quality by purchasing a more expensive LCD television?
Quality
Cost
79 75
74
71
67
66
64
61
61
58
57 D
27 31
40 23
19
14
27
23
15
14
19
Spearman's Rank Correlation Coefficient
Click the icon to view the critical values of Spearman's rank correlation coefficient.
Determine the null and alternative hypotheses for this test. Choose the correct answer below.
O A. Ho: T =0
H:rg #0
O C. Ho: r #0
H:r = 0
a/2
a/2
-1
Critical Values of Spearman's Rank
Correlation Coefficient r,
a = 0.10
a = 0.05
a = 0.02
a = 0.01
900
.829
.886
.943
7
714
.786
893
929
8.
643
.738
833
881
6.
.600
.700
783
833
10
564
.648
.745
.794
11
536
.618
.709
755
12
503
.587
.678
.727
13
484
560
.648
703
14
464
538
626
679
15
446
.521
.604
654
16
429
.503
582
635
17
.414
485
566
.615
18
401
472
.550
.600
Click to select your answer and then click Check Answer.
Transcribed Image Text:A magazine tested LCD televisions. The table below shows the overall quality score and cost in hundreds of dollars. Use the rank correlation coefficient to test for a correlation between the two variables. Use a significance level of a = 0.01. Based on these results, can you expect to get higher quality by purchasing a more expensive LCD television? Quality Cost 79 75 74 71 67 66 64 61 61 58 57 D 27 31 40 23 19 14 27 23 15 14 19 Spearman's Rank Correlation Coefficient Click the icon to view the critical values of Spearman's rank correlation coefficient. Determine the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: T =0 H:rg #0 O C. Ho: r #0 H:r = 0 a/2 a/2 -1 Critical Values of Spearman's Rank Correlation Coefficient r, a = 0.10 a = 0.05 a = 0.02 a = 0.01 900 .829 .886 .943 7 714 .786 893 929 8. 643 .738 833 881 6. .600 .700 783 833 10 564 .648 .745 .794 11 536 .618 .709 755 12 503 .587 .678 .727 13 484 560 .648 703 14 464 538 626 679 15 446 .521 .604 654 16 429 .503 582 635 17 .414 485 566 .615 18 401 472 .550 .600 Click to select your answer and then click Check Answer.
Determine the null and alternative hypotheses for this test. Choose the correct answer below.
AHo: r =0
H1:rs #0
OB. Ho r, #0
H,:r = 0
YC. Ho: Ps 0
H1:Ps #0
OD Ho: Ps #0
H,: Ps = 0
Determine the correlation coefficient.
Ts
= 0.664 (Round to three decimal places as needed.)
Determine the critical value(s) of the correlation coefficient.
0.755,-0.755
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
Choose the correct answer below.
O A. Fail to reject the null hypothesis. There is insufficient evidence to support a claim of a correlation between quality and price.
O B. Fail to reject the null hypothesis. There is sufficient evidence to support a claim of a correlation between quality and price.
O C. Reject the null hypothesis. There is sufficient evidence to support a claim of a correlation between quality and price.
O D. Reject the null hypothesis. There is insufficient evidence to support a claim of a correlation between quality and price.
Transcribed Image Text:Determine the null and alternative hypotheses for this test. Choose the correct answer below. AHo: r =0 H1:rs #0 OB. Ho r, #0 H,:r = 0 YC. Ho: Ps 0 H1:Ps #0 OD Ho: Ps #0 H,: Ps = 0 Determine the correlation coefficient. Ts = 0.664 (Round to three decimal places as needed.) Determine the critical value(s) of the correlation coefficient. 0.755,-0.755 (Round to three decimal places as needed. Use a comma to separate answers as needed.) Choose the correct answer below. O A. Fail to reject the null hypothesis. There is insufficient evidence to support a claim of a correlation between quality and price. O B. Fail to reject the null hypothesis. There is sufficient evidence to support a claim of a correlation between quality and price. O C. Reject the null hypothesis. There is sufficient evidence to support a claim of a correlation between quality and price. O D. Reject the null hypothesis. There is insufficient evidence to support a claim of a correlation between quality and price.
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