Cruz has the support of 38 percent of likely GOP primary voters, Trump has 23 percent and Florida Sen. Marco Rubio has 21 percent. Rounding out the Republican presidential field, retired neurosurgeon Ben Carson has 6 percent and Ohio Gov. John Kasich has 5 percent.

On the Democratic side, former Secretary of State Hillary Clinton has more than double the support of Vermont Sen. Bernie Sanders, 64 percent to 30 percent. Clinton leads with nearly all demographics, including African-Americans (81 percent to 8 percent), Latinos (68 percent to 32 percent) and whites (54 percent to 40 percent).