P Value

The P value is a measure of the probability that the calculated test statistic is in error. This means that the smaller the P value the more certain it is that the sample matches the test population.  

Confidence, as it relates to the test, is a measure of how certain we are that we have not rejected the hypothesis being tested when it is in fact correct.

In the case of the statistic being reported, the hypothesis is that the distribution of the sample data matches the test distribution. The confidence value (in %) for the result is the chance of saying that the two distributions are not the same when in fact they are.