Answer with explanation:
Given : The computed r -value = 0.45
Sample size : n=18
Degree of freedom : [tex]df=n-2=18-2=16[/tex]
Now, the critical value for Pearson correlation coefficient for a two-tailed test at a .05 level of significance will be :
[tex]r_c=0.468[/tex] ( by critical correlation coefficient table)
Since , [tex]r>r_c[/tex] 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.
