Barely Significant
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Using Genomes and Evolutionary Analyses to Screen for Host-Specificity and Positive Selection in the Plant Pathogen Xylella fastidiosa.

Appl Environ Microbiol · 2022 · PMC9499020 · PMID 36094203

2
hedged sentences
0.0420
closest p · 0.8× alpha
0.0420
boldest claim

The sentences

weakly significantP = 0.042actually significant
There was a weakly significant phylogenetic association (ANOSIM; R = 0.08178, P = 0.042) between the geographic location and the phylogeny built from the full core gene alignment (ANOSIM; R = 0.08178, P = 0.042) but not with the phylogeny built from the nonrecombinant regions (ANOSIM; R = −0.004147, P = 0.4895).

also in 1,387 other papers

may be significantno p-value reported
Under this scenario, there may be significant associations for a small subset of accessory genes, but the signal of this association is weak across the entire accessory gene set.

also in 13,097 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.