My vote goes to Bloomberg being correct - they are using data from ISM - Institute for Supply Manufacturing, cite their sources, the actual numbers, and exactly what they are basing their analysis on, and are US Based.
The other 'report' is generated by a London based Nasdaq company that sells data and 'analysis' to primarily government and industries heavily dependent on government:
From wikipedia on IHS: IHS provides information and analysis to support the decision-making process of businesses and governments in industries such as aerospace, defense and security; automotive; chemical; energy; maritime and trade; and technology.
The previously announced deal to merge IHS and Markit closed on July 13, 2016
Now, given THOSE facts - which source do you really believe is more credible. I think it's a no-brainer that the Bloomberg article comes out much higher on the credibility scale.