According to a recent survey, here are the percentages of Americans who have a positive reaction to the following terms:

• “Medicare-for-all,”64%
• “Guaranteed universal health coverage,”57%
• “Single payer health insurance system,”44%
• “Socialized medicine,”38%

Source: "Public Split On What to Do About the Health Care System, Though More Support Building on ACA Than Repealing It, Replacing with a GOP Alternative, or Creating a Single Payer Plan," Kaiser Family Foundation, February 25, 2016, http://kff.org/health-reform/press-release/public-split-on-what-to-do-about-the-health-care-system-though-more-support-building-on-aca-than-repealing-it-replacing-with-a-gop-alternative-or-creating-a-single-payer-plan/