Anti rabies vaccination (post bite) is of prime importance. If there was a dog bite, vaccination is necessary and not just one, multiple doses. The observation is suggested to know if the dog that bit is showing any symptoms of rabies or not. If symptoms are seen necessary measures may be taken.
If it is taking a toll on you, observing the dog isn't a necessity.
Next Steps
Getting vaccination done on time is the best you can do. your family is absolutely safe.
Health Tips
in any dog bite firstly place the wound under running water for 10-15 minutes and wash with soap and water.if bleeding put pressure to stop it. then visit a clinic for vaccination as early as possible.