Barely Significant
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Cigarette smoke represses the innate immune response to asbestos.

Physiol Rep · 2015 · PMC4760433 · PMID 26660560

1
hedged sentence
0.0580
closest p · 1.2× alpha
0.0580
boldest claim

The sentences

did not quite reach significanceP = 0.058so close (0.05 < p ≤ 0.1)
Mice exposed to CS + asbestos displayed levels of HMGB1 that were ~30% lower than in mice exposed to asbestos alone, but the group differences did not quite reach significance ( P = 0.058, Kruskal–Wallis ANOVA).

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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.