Barely Significant
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Dietary iron depletion at weaning imprints low microbiome diversity and this is not recovered with oral Nano Fe(III).

Microbiologyopen · 2015 · PMC4335973 · PMID 25461615

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The sentences

did not quite reach statistical significanceP = 0.1so close (0.05 < p ≤ 0.1)
Helicobacter was also considerably higher in the Fe-sufficient reference group (11 ± 6%) when compared to the Fe-deficient diet group (0.11 ± 0.02) but this did not quite reach statistical significance when correcting for the different mouse numbers in both groups ( P = 0.1, unpaired t -test with Welch's correction).

also in 679 other papers

The same trend was observed for the unmodified synthetic ferrihydrite (Fh) group, although this did not reach statistical significance.

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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.