Barely Significant
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Hepatic insulin clearance is the primary determinant of insulin sensitivity in the normal dog.

Obesity (Silver Spring) · 2014 · PMC3969862 · PMID 24123967

2
hedged sentences
0.0670
closest p · 1.3× alpha
0.0670
boldest claim

The sentences

approached significancep=0.067so close (0.05 < p ≤ 0.1)
[Data from the 1.5 mU/min per kg infusion rate was also highly linear (r=0.78), but relationship only approached significance due to small group size (p=0.067; n=6 animals).] Slopes defining the clearance-sensitivity relationship were not statistically different across insulin infusion rates (p=0.567).

also in 8,237 other papers

highly significantno p-value reported
There was a strong, highly significant linear relationship between clearance and SI CLAMP at both the 0.75 and 1.15 mU/min per kg infusion rates.

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.