How to Interpret the Shapiro-Wilk Test

Statistics can be less complex when the steps are broken down.

The Shapiro-Wilk Test tests to see if a sample's population is normally distributed. The Shapiro-Wilk Test is interpreted based on the p-value. Therefore, it is necessary to understand what the p-value is when trying to interpret the test.

Solve for the p-value. The Shapiro Wilk Test is interpreted based upon the p-value. Therefore, the p-value must be calculated.

Identify the alpha level. The alpha level is used when comparing it to the p-value. The alpha level is often given in problems or can be located in the alpha chart which is also provided.

Compare the alpha level to the p-value. Reject the null hypothesis If the p-value is less than the alpha level. If the p-value is greater than the alpha level, do not reject the null hypothesis.