I refused induction.
I don't see the medical need in rushing a baby to be born if they are not in distress.
The WHO says you're not even classed as overdue until 42 weeks, and most PCTs will try to induce you before that time.
after 42 weeks, you do not have to agree to induction, but you are recommended by NICE to have Expectant Management, which is basically monitoring (monitor on your belly for ages) and extra scans as required.
I went to 40+16 in the end.
If you refuse induction (which you are perfectly well within your human rights to do so), have it backed up with paperwork about the NICE guidelines in order to show that you know what you're on about, and expect a registrar (doctor person who only ever sees births that are critical or high risk, or have gone wrong) to be hysterical and tell you you're going kill your baby 
here's you full NICE leaflet on induction
the bits on induction are pages 2 (20 of the pdf), 10, (28 of the pdf) and 29 (47 of the pdf)
Only you can decide whether to be induced or not - not the hospital, not the registrar and not the midwife.
so if you're not sure, please research it properly first.