Barely Significant
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Payoff information hampers the evolution of cooperation.

Nat Commun · 2017 · PMC5418570 · PMID 28462949

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hedged sentences
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closest p · 2.0× alpha
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boldest claim

The sentences

weakly significantP >0.1so close (0.05 < p ≤ 0.1)
The interaction term COPY UP:INFO is negative and weakly significant and cancels out the baseline effect entirely (Wald test P >0.1).

also in 1,387 other papers

highly significantno p-value reported
In NoInfo the BR coefficient picks up some regression to the mean, while the large and highly significant coefficient for the interaction term BR:INFO indicates just how appealing subjects find the best-reply heuristic once they have the relevant information.

also in 132,142 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.