Fifty-seven percent of those polled said they were unsure of complications if a pregnant woman contracts measles.
Texas remains the country's hot spot, with 718 cases.
In 2 congressional hearings, Kennedy argued the department is in need of streamlining and will "do more with less" going forward.
The state's outbreak cases span 8 counties in the southwestern part of Kansas.
Two cases near the Dallas area are now included in the large outbreak, which now totals 717 cases.
About 93% of cases reported to the CDC are part of 14 different outbreaks.
Kansas reported a case from the Wichita area, the first since 2017.
In other US news, Los Angeles County has reported its fourth measles case of the year.
Also, health departments in Illinois, North Dakota, and Missouri reported more measles cases.
Currently North Dakota has an 81% vaccination rate among toddlers.
