A magazine tested paints. The table below shows the overall quality score and cost in dollars per g quality paint by paying more? Quality 81 79 78 74 73 71 66 65 65 61 60 O Cost 28 29 30 23 20 17 28 23 18 17 20 Click the icon to view the critical values of Spearman's rank correlation coefficient. What are the null and altemative hypotheses? O A Họ: A. Hoi P.0 OC. H P.". H: P,r,

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Topic Video
Question
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?
74 73 71
66 65 65
61
60 D
Quality
28
81 79 78
Spearman's Rank Correlation Coefficient
Cost
29
30
23
20
17
28
23
18
17
20
Click the icon to view the critical values of Spearman's rank correlation coefficient.
What are the null and alternative hypotheses?
O A. Ho: Po =0
H: Po#0
O C. Ho: Ps=rs
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
6.
829
886
.943
7.
.714
.786
893
.929
8.
.643
.738
833
881
.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.
Check Answer
3 parts
remaining
Print
Done
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 a = 0.05. Based on these results, do you get better quality paint by paying more? 74 73 71 66 65 65 61 60 D Quality 28 81 79 78 Spearman's Rank Correlation Coefficient Cost 29 30 23 20 17 28 23 18 17 20 Click the icon to view the critical values of Spearman's rank correlation coefficient. What are the null and alternative hypotheses? O A. Ho: Po =0 H: Po#0 O C. Ho: Ps=rs 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 6. 829 886 .943 7. .714 .786 893 .929 8. .643 .738 833 881 .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. Check Answer 3 parts remaining Print Done
What are the null and alternative hypotheses?
A. Ho: Ps=0
H: Ps #0
O B. Ho Ps#rs
H,: Ps =rs
O D. Ho: Ps =rs
OC. Ho: Ps#0
H,: Ps = 0
Calculate the test statistic.
r= - 0.053 (Round to three decimal places as needed.)
%3D
Find the critical values.
r = + 0.618 (Round to three decimal places as needed.)
State the conclusion.
Fail to reject the null hypothesis that there is no correlation between quality and cost. It appears that you
can
expect to get higher quality by purchasing more expensive paint.
Transcribed Image Text:What are the null and alternative hypotheses? A. Ho: Ps=0 H: Ps #0 O B. Ho Ps#rs H,: Ps =rs O D. Ho: Ps =rs OC. Ho: Ps#0 H,: Ps = 0 Calculate the test statistic. r= - 0.053 (Round to three decimal places as needed.) %3D Find the critical values. r = + 0.618 (Round to three decimal places as needed.) State the conclusion. Fail to reject the null hypothesis that there is no correlation between quality and cost. It appears that you can expect to get higher quality by purchasing more expensive paint.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Centre, Spread, and Shape of a Distribution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman