Barely Significant
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Mice fed rapamycin have an increase in lifespan associated with major changes in the liver transcriptome.

PLoS One · 2014 · PMC3883653 · PMID 24409289

1
hedged sentence
0.0600
closest p · 1.2× alpha
0.0600
boldest claim

The sentences

approached significancep = 0.06so close (0.05 < p ≤ 0.1)
We observed no change in initial rate of mortality (p = 0.53); however, the rate of increase in the hazard for mortality, an indication of the rate of aging, approached significance (p = 0.06).

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Quoted from the open-access full text in Europe PMC under the licence the publisher applied. The sentence is reproduced exactly as published; the emphasis is ours.