Consider the following sample data: Use Table 8. Calculate r S . (Round your ans
ID: 2906648 • Letter: C
Question
Consider the following sample data: Use Table 8.
Calculate rS. (Round your answer to 2 decimal places.)
Specify the competing hypotheses to determine whether the Spearman rank correlation coefficient differs from zero.
Determine the critical value at the 5% significance level. (Round your answer to 3 decimal places.)
At the 5% significance level, what is the decision rule?
Consider the following sample data: Use Table 8.
TABLE 8 Upper Critical Values for the Spearman Rank-Correlation Coefficient ? 0.05 ? 0.025 Two-Tail Test: One-Tail Test: ? = 0.10 ?=0.05 0.900 0.829 0.714 0.643 0.600 0.564 ? 0.02 ? = 0.01 ? 0.01 ? = 0.005 0.886 0.786 0.738 0.683 0.648 0.943 0.893 0.833 0.783 0.745 0.881 0.833 0.794 of Mathematical 10 SOURCE: E. G. Olds, Distribution of Sums of Squares of Rank Differeces for Smal Sampes, Anna Statistics 9 (1938).Explanation / Answer
a) rS = 0.9428571
The Spearman correlation coefficient of correlation indicates a strong positive relationship between x and y.
(b) null hypothesis: rS is equal to 0
alternative hypothesis: rS is not equal to 0
c) critical value= 0.01667
reject H0 rS >critical value
d) Reject H0; we can conclude the correlation differs from zero.