No, as some silly old dead revolutionary white guy said,
”it is better a hundred guilty persons should escape than one innocent person should suffer” (Americans do suffer a bit of hyperbole). But I think he copied it from an even deader English judge who said “it is better ten guilty persons should escape than one innocent person should be convicted” (hence “Blackstone’s ratio), although it is said that it was actually Alfred The Great who originally said it when setting up early English Law “it was better that four guilty men go free than one innocent man be hanged” (One of the reasons he was Alfred The Great).
the truth is majority juries will increase the number of innocents in Gaol. Especially highly public ones.
as for hung juries, if they can’t reach agreement, it is a mistrial, the end (for the jury). it is up to the prosecutor to decide if a retrial with a different jury is justified. All the jury needs to tell the judge is agreement can’t be reached and unlikely to be.