"Evidence for Single Top Production at CDF" Thomas R. Junk, University of Illinois The top quark, observed at the Tevatron in 1995, has an enormous mass -- nearly that of an atom of gold. If it behaves like the other five known quarks, it should be produced singly in hadron collisions via the weak interaction. Measurement of the production rate of weakly produced single top quarks provides a direct determination of |Vtb|, which can be used to check of the 3x3 unitarity of the CKM matrix. Single top quarks also share a final state with one of the more powerful search channels for the Standard Model Higgs boson at the Tevatron, and the use and careful understanding of advanced analysis techniques are needed in order to establish evidence for these low-rate processes in the presence of large backgrounds with large systematic uncertainties. Two such analyses are presented -- a likelihood-function search and a matrix-element search. The measured cross section for single top quarks is 3.0+1.4-1.2 pb, with a significance of 3.1 standard deviations, using the matri x-element technique, and 2.7+1.3-1.1 for the likelihood function technique, with a significance of 2.7 standard deviations.