FILE - In this July 8, 2008 file photo, then-Republican presidential candidate Sen. John McCain, R-Ariz., addresses the Annual League of United Latin American Citizens (LULAC) Convention in Washington. Having lost the popular vote in five of six presidential elections, Republicans are plunging into intense self-examination. Hard-core conservatives say the party should abandon comparative centrists like John McCain and Mitt Romney. But establishment Republicans note the party still runs the House and President Obama's popular-vote margin was smaller than before. Perhaps the GOP's biggest challenge: improving relations with America's fast-growing Hispanics.  (AP Photo/Carolyn Kaster)