Is .000 statisticaly significant on SPSS?

It depends on your alpha level. In the Social Sciences, we use an alpha level of 0.05. Therefore, anything less then this is considered statistically significant. If your significance is 0.0001 it mean that there is a 1/10000 chance that you would get your results by chance alone (as the engine of change). It is therefore fairly safe to conclude that the null hypothesis is incorrect (you can conclude that your IV had a significant effect on your DV). Be careful however, when interpreting significant levels, that is not to say that your IV had a BIG or SMALL effect on your DV (this is indicated by effects size), only to say that any change that resulted is not due to chance alone. It depends on your alpha level. In the social sciences, we use an alpha level of 0.05. Therefore, anything less then this is considered statistically significant. If your significance is 0.0001 it mean that there is a 1/10000 chance that you would get your results by chance alone (as the engine of change). It is therefore fairly safe to conclude that the null hypothesis is incorrect (you can conclude that your IV had a significant effect on your DV). Be careful however, when interpreting significant levels, that is not to say that your IV had a BIG or SMALL effect on your DV (this is indicated by effects size), only to say that any change that resulted is not due to chance alone.