Essentials of Statistics (5th Edition)

Published by Pearson
ISBN 10: 0-32192-459-2
ISBN 13: 978-0-32192-459-9

Chapter 10 - Correlation and Regression - 10-4 Rank Correlation - Page 524: 8

Answer

Rs $\lt$ R critical , so the test statistics doesn't fall within the critical region, so we fail to reject the null hypothesis. There is not sufficient evidence to support a claim of a correlation between quality and price.

Work Step by Step

1) Search the difference between the Quality Rank and Price Rank 2 , 0 , 0 , 3,5 , 4 , 2 , 0,5 ,2 double each difference and sum it all 2) 4 + 0 + 0 +12,25 + 16 + 4 + 0,25 + 4 = 40,5 3) Then use Spearman Formula Rs = 1 - $ \frac{1-6 \times 40.5}{8\times(8^{2}-1)}$ = 0.517 4) Compare it with Spearman Critical Value = 0,738 5) Rs < Rs critical value , so the test statistics doesn't fall within the critical region, so we fail to reject the null hypothesis.
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