Barely Significant
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The Mitonuclear Dimension of Neanderthal and Denisovan Ancestry in Modern Human Genomes.

Genome Biol Evol · 2017 · PMC5509035 · PMID 28854627

3
hedged sentences
0.0000
closest p · 0.0× alpha
0.0300
boldest claim

The sentences

highly significantP < 1 × 10 −6actually significant
Although this pattern is consistent with the expectation that more functionally important genes (i.e., those that are more highly expressed) will exhibit reduced rates of introgression, these effects explained a negligible proportion of the variance (R 2 < 0.01 for both Asian and European data sets), and the relationship between mitochondrial targeting and introgression remained highly significant after controlling for this measure of transcript abundance ( P < 1 × 10 −6 in both Asian and European data sets).

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marginally significantP = 0.03actually significant
When we used these new estimates to compare levels of Neanderthal introgression for N-mt genes to background rates in the genome, the differences between N-mt genes and other nuclear genes were marginally significant at best ( P = 0.03 and 0.07 for European and Asian data sets, respectively; supplementary fig.

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a slight trendno p-value reported
Overall, there was a slight trend towards enrichment or substitutions at contact sites relative to noncontact sites, but this was not significant in the Neanderthal data set ( P = 0.10) or Denisovan data set ( P = 0.17; Fisher’s exact tests).

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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.