Communications with the National Weather Service or local emergency managers occurs via amateur radio. Some involve public safety officials such as firemen, Citizen Band Operators or local volunteers with Law Enforcement handhelds. Although most Skywarn spotter programs use some sort of radio based communications to get the severe storm information back to the right person, you don't have to be so equipped to participate. Having a radio or cellphone would be helpful, but you can spot from home too. Each locality has its own way of taking storm reports from the general public, often by dialing 911.
Many programs allow the general public to attend the spotter training.
The National Weather Service is very interested in getting as many people as possible trained to spot severe weather. If you are a Amateur Radio Operator, contact your local spotter organization . They can also help if you are interested to get your Amateur Radio License so you can more fully participate in Skywarn. Or you can contact your nearest National Weather Service office. Training schedules are often posted on the local NWS Web page.