significance level
In statistics, the point at which a null hypothesis is rejected. Also known as the "level of significance." Who can identify the significance level in this problem?
take on (a) new significance
To become suddenly more meaningful; to be suddenly able to be interpreted or understood in a different and significant way. Her words took on a new significance when I realized that she was the daughter of a billionaire. I found that the movie really took on new significance for me after I became a parent.
take on a new significance
and take on a new meaning[for an event] to acquire a new interpretation; [for something] to become more meaningful or more significant. All these monuments take on a new meaning when you realize the amount of human artistry and skill it took to design and build them.