
05 rejects the null hypothesis that the data are from a normally distributed population). 05, a data set with a p value of less than.

On the other hand, if the p value is greater than the chosen alpha level, then the null hypothesis (that the data came from a normally distributed population) can not be rejected (e.g., for an alpha level of. Thus, if the p value is less than the chosen alpha level, then the null hypothesis is rejected and there is evidence that the data tested are not normally distributed.

The null-hypothesis of this test is that the population is normally distributed. The cutoff values for the statistics are calculated through Monte Carlo simulations.

, x n came from a normally distributed population. The Shapiro–Wilk test tests the null hypothesis that a sample x 1.
