Barely Significant
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Personal trust increases cooperation beyond general trust.

PLoS One · 2014 · PMC4140793 · PMID 25144539

3
hedged sentences
0.0300
closest p · 0.6× alpha
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boldest claim

The sentences

barely significantp<0.03actually significant
On the other hand, the results of cooperation in the iterated prisoner's dilemma for each group separately exhibited non-significant differences in the TC by means ofPearson Chi-square tests: mutuality (X2(1, n = 54) = 0.84, p<0.4); cooperation in the three decisions (X2(1, n = 54) = 1.20, p<0.3); total of cooperative decisions (X2(1, n = 54) = 1.38, p<0.3); cooperation in the first decision (X2(1, n = 54) = 1.92, p<0.2); cooperation in the third decision (X2(1, n = 54) = 0.991, p<0.4); and barely significant differences in some measures of cooperation in the NTC, such as cooperation in the three decisions (X2(1, n = 54) = 5.129, p<0.03); and total of cooperative decisions (X2(1, n = 54) = 5.84, p<0.02).

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failed to reach significanceno p-value reported
One-tailed McNemar tests demonstrated that there was a significant higher proportion of cooperation for each of the dependent variables in the TC than in the NTC, except as regards the first decision, whose differences failed to reach significance.

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highly significantno p-value reported
The highly significant differences found in cooperation between the two experimental conditions –trust and non-trust circle conditions– clearly show that personal trust increases cooperation beyond the baseline level commonly found even in one-shot anonymously played games.

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.