Need a T-stat that work in 1 degree difference

Happy New Year all! Ok, I've searched all over so here I am. I have a new construction home, Rhuud heat pump with 5 KW heat strip installed. My issue is, I have a Honeywell TH8000 that will only turn on heat strips if there is a 2 degree difference, meaning I have to crank it up to 74 to get it to turn on. And then when it does, wont turn off until 75, to hot. Right now, the HP can only get to 72 on a cold day by itself. It cant break 72 without the strips.