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If the two populations are not sufficiently different to produce a significant result, you will fail to reject the null hypothesis. The null hypothesis is never accepted; we can't prove that the populations are the same, so it remains a hypothesis. The two options are: 1. Reject the null hypothesis. (We do this when it's very unlikely that the differences are du to random chance alone.) 2. Fail to reject the null hypothesis. (There's not enough evidence that something other than random chance is causing the differences.)
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