Barely Significant
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High-flavonoid intake induces cognitive improvements linked to changes in serum brain-derived neurotrophic factor: Two randomised, controlled trials.

Nutr Healthy Aging · 2016 · PMC5166520 · PMID 28035345

1
hedged sentence
0.0560
closest p · 1.1× alpha
0.0560
boldest claim

The sentences

almost achieved significancep = 0.056so close (0.05 < p ≤ 0.1)
All other physiological and anthropometric measurements proved to not be significantly associated with serum BDNF levels ( p > 0.05), although higher levels in males compared to females almost achieved significance ( p = 0.056).

also in 10 other papers

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.