Barely Significant
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Regular physical activity modulates perceived visual speed when running in treadmill-mediated virtual environments.

PLoS One · 2019 · PMC6594642 · PMID 31242254

2
hedged sentences
0.0400
closest p · 0.8× alpha
0.1164
boldest claim

The sentences

barely failed to reach significancep = 0.040actually significant
This difference was significant for the Runner group [t(9) = -3.105, p = 0.012] but barely failed to reach significance for the Team sports group [t(9) = -2.392, p = 0.040 uncorrected, with an alpha adjusted to 0.025].

also in 7 other papers

failed to reach significancep = 0.1164not close (p > 0.1)
The main effect of the group failed to reach significance [F(2,27) = 2.331, p = 0.1164] but it nonetheless explained over 12% of the observed variance ( η G 2 = 0.12), and the underestimation varied from 33.25% for the Sedentary group to 20.64 and 12.99% for the Team sports and Runner group, respectively.

also in 4,113 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.