Barely Significant
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When one hemisphere takes control: metacontrol in pigeons (Columba livia).

PLoS One · 2009 · PMC2668796 · PMID 19390578

1
hedged sentence
closest p
boldest claim

The sentences

approached significanceno p-value reported
Although the correlation between the number of sessions required by the left hemisphere and the dominance degree only approached significance, we believe that it has important meaning.

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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.