The evidence overwhelmingly supports the truthfulness of the statement. The most authoritative sources provided are the official press releases from ADP itself, hosted on its media center and distributed via news wires. These primary sources directly and explicitly state that 'private sector employment increased by 41,000 jobs in December.' This is corroborated by every other source, which includes multiple high-authority financial news organizations such as CNBC, The Wall Street Journal, and Reuters. There are no contradictions or conflicting reports among the provided evidence. The consistency across numerous, credible primary and secondary sources makes it virtually certain that the statement accurately reflects ADP's report.