Barely Significant
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The undermining effect of facial attractiveness on brain responses to fairness in the Ultimatum Game: an ERP study.

Front Neurosci · 2015 · PMC4354284 · PMID 25805967

2
hedged sentences
0.0610
closest p · 1.2× alpha
0.0720
boldest claim

The sentences

approached significancep = 0.061so close (0.05 < p ≤ 0.1)
The interaction effect between attractiveness and valence approached significance [ F (1, 20) = 3.956, p = 0.061], and the P300 was more positive for the fair offers (mean ± SE, 4.823 ± 0.724 μV) compared with the unfair offers (mean ± SE, 2.788 ± 0.758 μV) in the unattractive-face condition ( p = 0.002) but not in the attractive-face condition ( p = 0.413, unfair offers: 3.518 ± 0.768 μV, fair offers: 3.944 ± 0.745 μV).

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marginally significantp = 0.072so close (0.05 < p ≤ 0.1)
The interaction effect exhibited a marginally significant difference [ F (1, 20) = 3.453, p = 0.072] with longer RTs for offer (1:9) ( p = 0.043) and shorter times for offer (4:6) ( p = 0.02) in the attractive-face condition compared with the unattractive-face condition.

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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.