A magazine tested paints. The table below shows the overall quality score and cost in dollars per gallon. Use the rank correlation coefficient to test for a correlation between the two variables. Use a significance level of a = 0.05. Based on these results, do you get better quality paint by paying more? Quality 83 81 78 76 75 74 72 68 68 62 61 Cost 20 19 27 16 19 29 26 20 22 24 16 Click the icon to view the critical values of Spearman's rank correlation coefficient. What are the null and alternative hypotheses? O A. Ho: P₂ = 0 H₁: Ps #0 O C. Ho: P₂ #0 H₁: P₂ = 0 C OB. Ho: Ps = r₂ H₁: Ps #rs OD. Ho: Ps #rs H₁: Pg=rs

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Chapter1: Starting With Matlab
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Spearman's Rank Correlation Coefficient
0
n
5
7
8
10
11
12
α/2
-rs
Critical Values of Spearman's Rank
Correlation Coefficient r
a = 0.10
α = 0.05
.900
829
.714
.643
.600
.564
.536
.503
Print
.886
.786
.738
.700
.648
α/2
.618
587
x = 0.02
.943
.893
.833
.783
.745
.709
.678
Done
0.01
929
.881
.833
.794
.755
.727
Transcribed Image Text:Spearman's Rank Correlation Coefficient 0 n 5 7 8 10 11 12 α/2 -rs Critical Values of Spearman's Rank Correlation Coefficient r a = 0.10 α = 0.05 .900 829 .714 .643 .600 .564 .536 .503 Print .886 .786 .738 .700 .648 α/2 .618 587 x = 0.02 .943 .893 .833 .783 .745 .709 .678 Done 0.01 929 .881 .833 .794 .755 .727
A magazine tested paints. The table below shows the overall quality score and cost in dollars per gallon. Use the rank correlation coefficient to test for a correlation between the two
variables. Use a significance level of x = 0.05. Based on these results, do you get better quality paint by paying more?
Quality 83 81 78 76 75
Cost
74
19 29
20 19 27 16
19
Click the icon to view the critical values of Spearman's rank correlation coefficient.
What are the null and alternative hypotheses?
O A.
Ho: P₂ = 0
H₁: P₂ #0
O C. Ho: P₂ #0
H₁: Ps=0
72
72
68 68 62 61
22 24 16
24
26 20 22
C
OB. Ho: Ps='s
H₁: Ps #rs
O D. Ho: Ps #rs
H₁: Ps = rs
Transcribed Image Text:A magazine tested paints. The table below shows the overall quality score and cost in dollars per gallon. Use the rank correlation coefficient to test for a correlation between the two variables. Use a significance level of x = 0.05. Based on these results, do you get better quality paint by paying more? Quality 83 81 78 76 75 Cost 74 19 29 20 19 27 16 19 Click the icon to view the critical values of Spearman's rank correlation coefficient. What are the null and alternative hypotheses? O A. Ho: P₂ = 0 H₁: P₂ #0 O C. Ho: P₂ #0 H₁: Ps=0 72 72 68 68 62 61 22 24 16 24 26 20 22 C OB. Ho: Ps='s H₁: Ps #rs O D. Ho: Ps #rs H₁: Ps = rs
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