Barely Significant
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Parallel Arousal Pathways in the Lateral Hypothalamus.

eNeuro · 2018 · PMC6140123 · PMID 30225361

3
hedged sentences
0.0000
closest p · 0.0× alpha
0.0510
boldest claim

The sentences

highly significantp < 10 −39actually significant
The mean Pearson correlation between speed and HθWP after SAL and CNO injection were 0.44 ± 0.04 and 0.36 ± 0.07, respectively, reflecting a highly significant correlation in both cases (mean p < 10 −39 ).

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did not quite reach statistical significancep = 0.051so close (0.05 < p ≤ 0.1)
Nonetheless, comparison of the distribution of W bout durations between CNO and SAL treatments did not quite reach statistical significance ( p = 0.051, n = 83 and 274 bouts for CNO and SAL treatments, respectively; two-sample Kolmogorov–Smirnov goodness-of-fit hypothesis test).

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showed a trendno p-value reported
CNO-injected mice showed a trend toward spending more time at velocities above 2 cm/s, while SAL-injected mice spent more time at speeds below 2 cm/s ( Fig. 3 F ).

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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.