in science, when we say something is significant, it means that the relationship has been tested with statistical methods and falls within some accepted range.
A difference among observed values, such as group means, deemed large enough to be considered reliable. Determination of significance comes from a statistical test, and carries with it the probabilistic characterization of significance level. As used in the statistics context, the word does not have its everyday connotation of importance.
The result of a hypothesis test is significant if we can reject H0. Sometimes a level of significance () is specified and H0 is rejected if the p-value is less than (often 0.05). The term significant is often used in summing up the result, e.g. there is a significant difference between the speeds of males and females on the bike track.