value is reported to be 0.000. This indicates that it is less than 0.001 (but not exactly 0), which, in turn, means that it is less than our chosen significance level of 0.01. Thus, we can regard the null hypothesis as refuted and start believing that there really is an association.

What does a significance of 0.000 mean?

If the p-value is less than the significance level, we reject the null hypothesis. So, when you get a p-value of 0.000, you should compare it to the significance level. … Since 0.000 is lower than all of these significance levels, we would reject the null hypothesis in each case.

Is .001 highly significant?

Most authors refer to statistically significant as P < 0.05 and statistically highly significant as P < 0.001 (less than one in a thousand chance of being wrong).