Barely Significant
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Body size correlates with fertilization success but not gonad size in grass goby territorial males.

PLoS One · 2012 · PMC3464255 · PMID 23056415

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hedged sentence
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The sentences

highly significantp<0.001actually significant
Weight was used as a proxy for body size and showed a highly significant correlation with length (r = 0.98; p<0.001).

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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.