Are these good headphones for sound quality on my iPhone?

They would be but if you're strict with a budget skull candy headphones are perfect and really cheep and I have them for the last 3 years and using them every day o weaknesses no problems and I'd say you get them for 80$

Audio-Technica is a reputable audio gear manufacturer just like Sennheiser, Shure, Grado, Denon, AKG, Bowers & Wilkins, Bang & Olufsen, Etymotic and Beyerdynamic.