Barely Significant
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The Emergence of Animal Management in the Southern Levant.

Sci Rep · 2018 · PMC6006362 · PMID 29915348

2
hedged sentences
0.0060
closest p · 0.1× alpha
0.0600
boldest claim

The sentences

highly significantp = 0.006actually significant
Gazelle abundance levels off into the PPNA, declines in the EPPNB, and declines further in the MPPNB (difference between NAT&PPNA and E&MPPNB assemblages is highly significant; t = −5.308; df = 3; p = 0.006).

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marginally insignificantp = 0.06so close (0.05 < p ≤ 0.1)
The proportion of both age groups declines back to early Epipaleolithic levels in the EPPNB and remains low through the MPPNB (significant difference between NAT&PPNA and E&MPPNB fawns; t = −1.92; df = 7; p = 0.05; and marginally insignificant difference between NAT&PPNA and E&MPPNB juveniles; t = −1.95; df = 4; p = 0.06).

also in 511 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.