Barely Significant
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Effects of walnut consumption on endothelial function in type 2 diabetic subjects: a randomized controlled crossover trial.

Diabetes Care · 2010 · PMC2809254 · PMID 19880586

Europe PMCDOI
1
hedged sentence
0.0500
closest p · 1.0× alpha
0.0500
boldest claim

The sentences

did not reach statistical significanceP > 0.05actually significant
However, the improvement did not reach statistical significance compared with consumption of an ad libitum diet without walnuts ( P > 0.05).

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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.