will this adaptor connect a 7th generation ipod nano to the Bose SoundDock digital music system?

I have the new ipod nano and have just receive the Bose SoundDock digital music system. The ipod has the small connection and I assume from looking at it the Bose has a 30 pin connection. Will this adaptor allow me to dock my ipod on this system to listen to my music?

Lightning to 30-pin Adapter

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