Question
In: Statistics and Probability
The following table shows the ranks given by two judges to the performance of six finalists...
The following table shows the ranks given by two judges to the performance of six finalists in a men’s figure skating competition:
| Skater | A | B | C | D | E | F |
| Judge 1 | 3 | 5 | 1 | 6 | 2 | 4 |
| Judge 2 | 1 | 5 | 2 | 6 | 3 | 4 |
a. Specify the competing hypotheses to determine whether the Spearman rank correlation coefficient is different from zero.
-
H0: ρS = 0; HA: ρS ≠ 0
-
H0: ρS < 0; HA: ρS ≥ 0
-
H0: ρS > 0; HA: ρS ≤ 0
b-1. Calculate the Spearman rank correlation coefficient rS. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)
b-2. Interpret the Spearman rank correlation coefficient rS.
-
Strong positive relationship.
-
Strong negative relationship.
-
Weak positive relationship.
-
Weak negative relationship.
c. The p-value for the test is found to be equal to 0.064. At the 5% significance level, does the Spearman rank correlation coefficient differ from zero?
-
No, since we do not reject H0.
-
Yes, since we reject H0.
-
No, since we reject H0.
-
Yes, since we do not reject H0.
Solutions
orchestra answered 1 year agoRelated Solutions
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