Despite what Fryer claims and the New York Times reports, the data in AN EMPIRICAL ANALYSIS OF RACIAL DIFFERENCES IN POLICE USE OF FORCE does not show that police are less likely to shoot blacks in the same circumstances. It simply shows that blacks are underrepresented in one set of data compared to another. Fryer has interpreted that difference in a particular way, but there are a number of possible interpretations. A more likely explanation is that the data in AN EMPIRICAL ANALYSIS OF RACIAL DIFFERENCES IN POLICE USE OF FORCE shows police bias in using “crime against cop” arrests (which the Fryer study highlights can be used by police to justify extreme force).
You can find a more detailed explanation in FRYER STUDY DEMONSTRATES POLICE SHOW BIAS WHEN APPLYING CHARGES THEY BELIEVE JUSTIFY EXTREME FORCE.