You shouldn't expect to make minimum wage for not actually doing anything.
Uhhh, yes, you should if your time is worth more than minimum wage. Unless you'd just be sitting around doing nothing normally too. Wages aren't all about difficulty of work, they're also about taking away potential money you could be making (or free time, once you get less and less of this this is actually valuable)
So what are you doing that an hour on a Sunday morning is somehow costing you the price of minimum wage. Most work schedules can work around somebody's churchgoing schedule, so unless you're going to say your free time is somehow more valuable than others'...
Wages aren't about the difficulty of work, no, but they ARE about paying you for actual work. Try going into your job, sitting around, then being like "Oh, you're paying me since you're taking my free time" and see what happens.
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SEP Nash, Smelling Like the Vault since 1996
Step FOUR! Get Paid! http://i33.tinypic.com/2v1sq51.jpg