Exercise 20-41 Algo (Round intermediate calculations to at least 4 decimal place

ID: 2949473 • Letter: E

Question

Exercise 20-41 Algo

(Round intermediate calculations to at least 4 decimal places.)

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?

(Round intermediate calculations to at least 4 decimal places.)

Consider the following sample data: Use Table 8.

The statistical software output for this problem is:

Correlation between x and y is:
0.59233378

Hence,

a - 1) rs = 0.59

a - 2) The Spearman correlation coefficient of correlation indicates a moderate positive relationship between x and y.

b) H0: ?S = 0; HA: ?S ? 0

c - 1) Critical value = 0.811

c - 2) Reject H0 if |rS| > critical value

d) Do not reject H0; we cannot conclude the correlation differs from zero.

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