Barely Significant
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Immune-mediated change in the expression of a sexual trait predicts offspring survival in the wild.

PLoS One · 2011 · PMC3184954 · PMID 21984912

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The sentences

highly significantp<0.001actually significant
In agreement with this, we found a highly significant correlation between courtship display across years (2006 and 2007) (r = 0.76, p<0.001) for the 15 sires used here.

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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.