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significance
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
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.