Electricity is a conduit to the rest of the world and the English World can lead to temptations and worldly services that could be a harmful to the Amish community and their families. Some exceptions have been made, for example batteries. Many of the Amish communities across Missouri allow the use of batteries in flashlights, lanterns, and flashing hazard lights on their buggies (which are safety requirement for most states with Amish). They also use bottle gas and kerosene for lighting.
Another exception is with some farming such as milking equipment, electric fences, and tooling. Many of the Amish use equipment run by gas powered machines. I have seen this in the leather shop with the stitching machine. They also hook up small motors to run their clothes washing machine. Normally, they are operated with a pulley system.
Most of the Amish in Missouri are Old World Order that follows these practices.