The Hinayana (Theravada) sect of Buddhism does not believe in idol-worship. Key characteristics of each option:
- Hinayana: Follows Pali canon, avoids elaborate rituals
- Mahayana: Uses Sanskrit texts, incorporates Bodhisattvas and idol worship
- Vajrayana: Esoteric tradition with deity yoga
- Digambara: A Jain sect, not Buddhist
Hinayana maintains the original Buddhist practice of focusing on meditation and the monastic life rather than image worship, while Mahayana and Vajrayana developed ritual practices involving Buddha images. Digambara is unrelated to Buddhism.
Thus, the correct answer is (1) Hinayana.