The certificate is only as useful as the lot number, because without traceability it is gossip about someone else's material.
Lot number visibility is the first check, and it is the one most certificates fail — the number is not printed on the vial, or it is on the certificate but the vial is unmarked.
The laboratory name and accreditation status can be checked in real time against the testing service's own register, and that two-minute check catches substituted certificates.
The standards that exist in this space — ICH Q3A, Q3B and various pharmacopoeial chapters — are worth reading once even if nothing you test is obliged to meet them.
One qualification: a single result from a single vial at a single time is a point estimate with no error bar, and no amount of decimal places changes that.
If the certificate does not trace to your vial, it is not evidence about your vial.
edited 3 Sept 2024 by amara_nwachukwu — added the placebo-arm figures