Barely Significant
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Evidence that emotion mediates social attention in rhesus macaques.

PLoS One · 2012 · PMC3431396 · PMID 22952968

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hedged sentences
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closest p · 1.4× alpha
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boldest claim

The sentences

near-significantp = 0.07so close (0.05 < p ≤ 0.1)
Latency to Disengage First Gaze away from Aggressive Faces is Faster following the Health Check GLMM performed on the mean latency to disengage gaze from aggressive and neutral faces revealed a significant main effect of testing condition ( F 1,54 = 7.07, p = 0.01) and a near-significant interaction of face x condition ( F 1,54 = 3.41, p = 0.07: Figure 2B ).

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a near-significant trendno p-value reported
Importantly, following the health check monkeys showed a near-significant trend to be faster to disengage first gaze, and spent less time looking towards aggressive faces, compared with neutral faces, suggesting avoidance of presumably threatening social information relative to more neutral social stimuli.

also in 235 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.