The Wikipedia article Spearman's rank correlation coefficient contains an example for calculating ρ. At the end of the sections is the statement "...with a P-value = 0.6864058 (using the t distribution)." The author does not describe how the P-value was calculated from the data in the example.
How was the P-value derived for the article's specific example?
Note: The included links to Wikipedia's P-value and T-distribution entries are too generic to provide a clear answer.