Just can't hang out at 4cm? That makes no sense, unless you're already at almost 42 weeks? Some women walk around at 4cm for weeks before going into labour and their babies are fine. Why is your doctor trying to rush you?
I don't know I wondered the same thing I have a 13 and a 15 year old and back then I went over my due date and they weren't even trying to induce me
Nipple stimulation worked for me with my first made him push down and break my water you could try that
You can always refuse the induction unless there's a medical reason.