It's a voluntary agreement between people. It's not immoral to pay minimum wage to someone when they both agree. I find it to be immoral for the government to force themselves into the agreement.

Only ~1% of people in the US make federal minimum wage. ~58% of that 1% are serving related occupations who collect tips that are not counted in BLS wage data.

You need to use median wage - which is ~$24 for all occupations.