Story highlights Nearly 8 in 10 believe parents should be required to #vaccinate children against preventable diseases.

Nearly 6 in 10 are opposed to unvaccinated children participating in public school or daycare.

Nearly 4 in 10 Americans think measles likely will strike their community within the next few weeks.

(CNN) A new CNN/ORC poll shows nearly 8 of 10 Americans believe parents should be required to vaccinate their healthy children against preventable diseases such as measles, mumps, rubella and polio. If the children are not vaccinated, most agree the child should not be allowed to attend public school or day care.

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These results come as the U.S. Centers for Disease Control and Prevention is reporting a total of 154 cases of measles in the country, from January 1, 2015 to February 20, 2015. That's an additional 13 cases in the last week.

The poll, conducted February 12-15, 2015, found 78% of the respondents believe parents should be required to vaccinate their child against preventable diseases if the child is healthy; only 22% disagree. Older Americans are most supportive of the required vaccinations (84% of those 50+ versus 72% of those under 50), and women express more support than men (81% to 75%). Seventy percent of parents with children under age 18 also agree with the requirement.

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Nearly 6 in 10 Americans believe that children should be barred from public school and day care activities if they are not vaccinated (58% say a child should not be allowed to participate in public school; 61% daycare). But when it comes to private schools, Americans are split: 51% say they should be allowed; 48% say they should not.

Another 39% of Americans think it's likely that measles will strike their local community within the next few weeks. More women than men say they believe measles might infect someone in their community (43% vs. 33%) and Democrats see it as more likely than Republicans (45% vs. 36%). Residents of the West are most concerned, with 39% saying its 'very likely' measles will strike their community, compared with 10% in the Northeast and 8% in both the South and Midwest.

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