Barely Significant
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Revisiting a sample of U.S. billionaires: how sample selection and timing of maternal condition influence findings on the Trivers-Willard effect.

PLoS One · 2013 · PMC3578789 · PMID 23437389

1
hedged sentence
0.0640
closest p · 1.3× alpha
0.0640
boldest claim

The sentences

almost significantp≈.064so close (0.05 < p ≤ 0.1)
In a simultaneous coefficient test that corrects for multiple comparisons, the difference between heiresses and heirs remains significant in a one-sided (p≈.032) and almost significant in a two-sided test (p≈.064).

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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.