We've had noise through the door on all cruises. You won't hear footsteps since the halls are carpeted. (Caveat, we've never cruised on the Paradise so can't say with certainty it's halls are carpeted although I suspect they are.)
We have heard kids running and certainly can hear the loud mouth drunks laughing and "talking."
On one cruise we made the mistake of booking a cabin across from a laundry room, not knowing at booking that there WAS a laundry room there. A certain type of people did their laundry nightly, in the middle of the night. That did drive us crazy.
If there are loud noises from the next door cabins you can call security.
Overall though it's not bad (other than aforementioned laundry incident) and it's never been bad enough for us to complain to anyone. It's just part of the scene of living closely to many others.
Booked....
01/10/2009 Carnival Elation Baja E75
01/15/2009 Carnival Spirit Mexican Riviera 6184
9/16/2009 Carnival Spirit Hawaii 7220
Past Cruises............
11/12/2009 Carnival Spirit Mexican Riviera 5243
9/21/2008 Carnival Pride Mexican Riviera 6194
9/29/2008 Carnival Paradise Baja Mexico E74
5/04/2008 Carnival Pride Mexican Riviera 7220
1/9/2008 Carnival Spirit Mexican Riviera 6198
9/5/2007 Carnival Spirit Glacier Bay Alaska 6227
5/19/2007 Carnival Triumph Eastern Caribbean 9268
1/14/2007 Carnival Pride Mexican Riviera 8196
9/6/2006 Carnival Spirit Glacier Bay Alaska 6231
1/11/2006 Carnival Spirit Mexican Riviera 6194
2/13/2005 Carnival Pride Mexican Riviera 6194
12/14/2003 Carnival Inspiration Exotic Western Carib E68
2/9/2003 Carnival Elation Mexican Riviera M241
9/26/2001 Carnival Spirit 12 Day Yvr To Hnl 8273
2/13/2000 Carnival Elation Mexican Riviera E42
11/20/1999 Carnival Fascination Southern Caribbean U69
2/1/1999 Jubilee Panama Canal E102
11/14/1998 Carnival Imagination Western Caribbean E74
2/7/1998 Carnival Fascination Southern Caribbean E75