Barely Significant
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Sleeping worries away or worrying away sleep? Physiological evidence on sleep-emotion interactions.

PLoS One · 2013 · PMC3641038 · PMID 23671601

2
hedged sentences
0.0580
closest p · 1.2× alpha
0.0620
boldest claim

The sentences

marginally significantp = 0.058so close (0.05 < p ≤ 0.1)
Notably, in our study the stressor induced a marginally significant increase of REM% in the first 8 th segment of sleep (distressing film: Mean 1.18 min, SD 2.98; neutral film: Mean 0.10 min, SD 0.45; t = 1.97, p = 0.058) and a trend-level shortening of REM latency with increasing emotional impact in LSQR ( r = −.45, p = 0.062).

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did not reach statistical significancep = 0.062so close (0.05 < p ≤ 0.1)
Overnight memory retention was slightly higher for the emotional than the neutral film fragment, but the difference did not reach statistical significance (interaction effect between Film (emotional, neutral) and Time (pre-sleep, post-sleep): F (1,30) = 3.763, p = 0.062).

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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.