A sample of 15 pairs of X and Y values produces a correlation of +0.47. For alpha = 0.05 (two-tailed) can we conclude that there is a non-zero correlation between X and Y in the population? Why/why not?
Options:
Yes, because the observed correlation is different from zero (0).
No, because the observed correlation is less than the critical value.
Yes, because the observed correlation is greater than the critical value.
We don't have enough data to make a determination.