Dr. Vance conducted an investigation into the relationship between the number of hours of cognitive-behavioural therapy (CBT) sessions attended and a self-reported anxiety score (on a scale of 0 to 100) using a sample of $N = 9$ participants. She calculated a Spearman's rank correlation coefficient of $r_s = -0.812$ and formulated a non-directional (two-tailed) hypothesis.

Using the critical values table below, determine the lowest level of significance (the most stringent $p$ -value) Dr. Vance could use for her results to still be considered statistically significant. Explain your answer.

Table 1: Critical values of Spearman's rank correlation coefficient ( $r_s$ )

N	Level of significance for a one-tailed test
	0.05	0.025	0.01	0.005	0.0025
	Level of significance for a two-tailed test
	0.10	0.05	0.025	0.01	0.005
5	0.900	1.000	1.000	1.000	1.000
6	0.829	0.886	0.943	1.000	1.000
7	0.714	0.786	0.893	0.929	0.964
8	0.643	0.738	0.833	0.881	0.905
9	0.600	0.700	0.783	0.833	0.867
10	0.564	0.648	0.745	0.794	0.830

Table 1: Critical values of Spearman's rank correlation coefficient ( $r_s$ )

N	Level of significance for a one-tailed test
	0.05	0.025	0.01	0.005	0.0025
	Level of significance for a two-tailed test
	0.10	0.05	0.025	0.01	0.005
5	0.900	1.000	1.000	1.000	1.000
6	0.829	0.886	0.943	1.000	1.000
7	0.714	0.786	0.893	0.929	0.964
8	0.643	0.738	0.833	0.881	0.905
9	0.600	0.700	0.783	0.833	0.867
10	0.564	0.648	0.745	0.794	0.830

Methods

Question 41

Table 1: Critical values of Spearman's rank correlation coefficient ( $r_s$ )

Methods

Question 41

Table 1: Critical values of Spearman's rank correlation coefficient ( $r_s$ )

Methods

Question 41

Table 1: Critical values of Spearman's rank correlation coefficient (rsr_srs​)

Methods Questions

Methods

Question 41

Table 1: Critical values of Spearman's rank correlation coefficient (rsr_srs​)

Methods Questions

Table 1: Critical values of Spearman's rank correlation coefficient ( $r_s$ )

Table 1: Critical values of Spearman's rank correlation coefficient ( $r_s$ )