“When a grocery store advertises “hot house” red or yellow peppers, are they considered organic?”
The only way you can be sure something is grown organically is if it is labeled “Organic”
“Hot-house” means they have been grown indoors, perhaps under a plastic polytunnel, or perhaps under glass. Organic farmers can for sure grow food in a hothouse without using pesticides and fertilizers. Non-organic farmers can also for sure grow food in a hothouse while using nasty chemicals to help kill bugs. So, if something is labeled “Organic” and also labeled “Hot-House”, then it’s organic food grown in a hothouse. But if something is labeled “Hot-House” with no additional labels, it’s definitely not organic.