Barely Significant
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Cognitive dissonance resolution is related to episodic memory.

PLoS One · 2014 · PMC4180931 · PMID 25264950

Europe PMCDOI
2
hedged sentences
0.0001
closest p · 0.0× alpha
0.0600
boldest claim

The sentences

highly significantp<10 −4actually significant
Indeed the difference between RCR and RRC was highly significant for remembered items (F(1,795.6) = 15.3, p<10 −4 ), but was not significant for forgotten items (F(1,1325.4) = 1.68, p = 0.195).

also in 132,142 other papers

almost reached significancep = 0.06so close (0.05 < p ≤ 0.1)
The main effect of manipulation almost reached significance (F(1,140) = 3.68, p = 0.06).

also in 321 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.