PHOENIX (AP) — Former Sheriff Joe Arpaio was convicted of a criminal charge Monday for refusing to stop traffic patrols that targeted immigrants, marking a final rebuke for a politician who once drew strong popularity from such crackdowns but was ultimately booted from office as voters became frustrated over his headline-grabbing tactics and deepening legal troubles.

The federal judge's verdict represents a victory for critics who voiced anger over Arpaio's unusual efforts to get tough on crime, including jailing inmates in tents during triple-digit heat, forcing them to wear pink underwear an...