Barely Significant
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Beliefs about lying and spreading of dishonesty: undetected lies and their constructive and destructive social dynamics in dice experiments.

PLoS One · 2013 · PMC3827202 · PMID 24236007

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hedged sentence
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The sentences

highly significantno p-value reported
All deviances from honesty are highly significant at the 0.1% level.

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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.