Scholars have raised concerns that on many issues, citizens are reluctant to trust factual evidence and statistics. One factor that has been shown to impact the perceived truth in statistics is how they are presented, where negatively framed statistics are perceived as truer than positive. This study explores when this bias applies and not. Results from a survey experiment confirm the presence of a negativity bias in truth perceptions, but also that effects are heterogeneous and moderated by, in particular, the recipients' preexisting opinions. These findings provide valuable information to public actors responsible for disseminating factual information to diverse publics.