Barely Significant
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Dog and Cat Interactions in a Remote Aboriginal Community.

Animals (Basel) · 2018 · PMC5981276 · PMID 29701647

3
hedged sentences
0.0540
closest p · 1.1× alpha
0.0570
boldest claim

The sentences

failed to reach significancep = 0.054so close (0.05 < p ≤ 0.1)
Similarly, over 24 h dogs appeared to travel further than cats, but again the test failed to reach significance ( p = 0.054, Table 2 ).

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close to significancep = 0.056so close (0.05 < p ≤ 0.1)
A t test revealed that the cats seen per day did not statistically differ between the two studies, although it came close to significance ( t 3.3 = 2.89, p = 0.056).

also in 2,130 other papers

nearing significancep = 0.057so close (0.05 < p ≤ 0.1)
Dog ARs ranged from 1.23 to 45.72 ha and cat ARs ranged from 0.1 to 2.47 ha with a one-way ANOVA of species effect nearing significance ( p = 0.057, Table 2 ).

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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.