This paper extends the truncated sequentialt-test presented by Suich and Iglewicz (1970) for α = β to the more general (α ≠ β This test is then compared with Barnard's non-truncated sequentialt-test and with the fixed sample-size procedure. This comparison includes OC and ASN curves and the standard deviation ofn. The test is then extended to a two-sided procedure and compared with the truncated sequentialt-test of Schneiderman and Armitage (1962).