Aresearcher computes r = 0.45 using a sample of 18 participants. is this pearson correlation coefficient significant for a two-tailed test at a .05 level of significance?

Answer with explanation:

Given : The computed r -value = 0.45

Sample size : n=18

Degree of freedom :

Now, the critical value for Pearson correlation coefficient  for a two-tailed test at a .05 level of significance will be :

  ( by critical correlation coefficient table)

Since , i.e. 0.45>0.468 , then we say that his Pearson correlation coefficient is not significant for a two-tailed test at a .05 level of significance.

(5x-1)^2= (5x)^2-2(5x)×1+(1)^2=25x^2-10x+1