You need to understand that when that happens, it is not like it is on Windows when you minimize applications. When an app loses focus, it freezes it in memory so when that happened with Candy Crush, it was NOT consuming CPU cycles, so it was frozen in your RAM and was not bringing down your battery. You do not need a task killer in Android anymore because the OS will manage your memory for you.
If your task killer is automatically killing aps, it is actually draining your battery more than it is if apps are frozen in your RAM. If you really want to close an app, use the recent apps menu and swype them away. Prior to 4.3, this didn't actually close them but now it does.
it costs power to keep data cycled in memory, much more power than closing something and keeping in memory only as necessary. it doesn't take a whole lot of power to transfer data from storage to memory.
think of it this way, you have 1GB of apps loaded into memory, which takes about 20 seconds to load at maximum read speed. then that 1GB of memory will continue to be refreshed so that the data stays in it. that's a lot less of a power drain, than say, having that same 1GB of data refreshed into memory for hours and hours on end. background apps eat as much memory power as foreground apps. minus the power usage from being handed off to the processor/gpu. so background apps do eat a significant enough amount of power. I'd say it's at least possible for them to eat 10% or more out of battery life.
go ahead, test it out. fill up your memory with as many open apps as possible, then using only one lite foreground app. the first thing you'll notice is there's warmth coming from the back near the cameras, even if you're not doing anything. this is because more data in memory = more power usage. it costs more power to hold 2GB of data in RAM than just 1GB for example. this heat is a byproduct of the energy being expended.
of course, the screen is still going to eat about half of all power no matter what, but there are definitely significant enough energy savings in keeping memory clean. it may possibly mean as much as an hour extra of charge.