Barely Significant
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The genetic architecture of gene expression levels in wild baboons.

Elife · 2015 · PMC4383332 · PMID 25714927

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highly significantp < 10 −280actually significant
Consistent with this idea, plotting eQTL effect size vs MAF in the baboons results in a very strong, highly significant negative correlation (r = −0.723, p < 10 −280 ; Figure 3C ), with no large effect eQTL detected at higher MAFs.

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nominally significantp = 0.002actually significant
The correlation between a gene’s average phyloP score (from the 46-way primate comparison) and the average MAF of all SNPs tested in association with that gene is nominally significant (p = 0.002) but explains a very small fraction of the variance (r = -0.037).

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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.