"no vaccination" is incorrect. The Amish do have lower vaccination rates than the general population, but many do vaccinate.
And those that don't are often subject to outbreaks of preventable disease:
https://www.nejm.org/doi/full/10.1056/NEJMoa1602295
alt Hacker News
And those that don't are often subject to outbreaks of preventable disease:
https://www.nejm.org/doi/full/10.1056/NEJMoa1602295