27 For a sample of n16 individuals how large a Pearson corre

27. For a sample of n=16 individuals, how large a Pearson correlation is necessary to be statistically significant for a two-tailed test with ?? = .05?

a. 0.497

b. 0.482

c. 0.468

d. 0.456

Solution

If you look at any table on critical values of correlation like this

http://www.gifted.uconn.edu/siegle/research/correlation/corrchrt.htm

and look for column = 0.05, row = 16-2=14 (degrees of freedom), the critical value is found to be .497, which is the minimum statistically significant correlation value.