Many people are all too willing to accept sketchy science at face value, and are almost entirely unwilling to follow up with reliable research. The anti-vaccination movement is an appropriate example.
Vaccination Disorientation

There aren’t many medical theories that have been as soundly and thoroughly disproven as the proposed connection between vaccinations and autism. The amount of reliable research invalidating the connection is staggering, and Andrew Wakefield, the researcher whose work first set off the vaccination controversy, has since been discredited and stripped of his medical license. Additionally, neither he nor any other researchers have been able to reproduce the results from his initial study. As far as the scientific community is concerned, Wakefield intentionally falsified data for financial gain.