Consider the following competing hypotheses and accompanying sample data. Use Ta

Question

Consider the following competing hypotheses and accompanying sample data. Use Table 8. H0: s = 0 HA: s 0 rS = 0.92 and n = 8 a-1.

Determine the critical value at the 1% significance level. (Round your answer to 3 decimal places.)

Critical value______

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

Given that: n=8 , The hypothesis is two tailed and Alpha is 0.01.

Using spearman Rank correlation coefficient table we get ,

The critical value is 0.881

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