# SAS Studio seems to imply that apparently non-normal data is normal

I have some data I'm trying to analyze in SAS Studio (university edition). I am using the Distribution Analysis feature to try to test some data for normality.

It gives me the following histogram:

Skewness is approximately 2.934 and Kurtosis is approximately 9.013. I would have assumed based on that (and the fact that the shape of the histogram looks so different than the normal curve) that this is not normally distributed. However, my goodness-of-fit tests are:

The Kolmogorov-Smirnov D Statistic is 0.2820865, PR > d < 0.010.

The Cramer-von Mises W-Sq statistic is 2.5706303 with Pr > W-Sq <0.005.

The Anderson-Darling A-Sq statistic is 13.2288360 with Pr > A-Sq <0.005.

Unless I'm misreading that horribly, isn't that implying that this is, in fact, normal?

Can someone point out what I'm missing?

• As a tangent, it is poor practice to run a KS test for a parametric distribution by estimating the parameter(s) from the data. That may or may not be what SAS is doing, testing a null of $H_0: X\sim N(\bar{x}, s^2)$.