Barely Significant
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The therapeutic efficacy of intensive medical therapy in ameliorating high-density lipoprotein dysfunction in subjects with type two diabetes.

Lipids Health Dis · 2016 · PMC5002094 · PMID 27567897

Europe PMCDOI
1
hedged sentence
0.0400
closest p · 0.8× alpha
0.0400
boldest claim

The sentences

modestly significantp = 0.040actually significant
However, when subjected to a per-protocol analysis, which removed the non-adherent subject, the results became modestly significant ( p = 0.040).

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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.