  Quantum State Tomography is the task of inferring the state of a quantum
system from measurement data. A reliable tomography scheme should not only
report an estimate for that state, but also well-justified error bars. These
may be specified in terms of confidence regions, i.e., subsets of the state
space which contain the system's state with high probability. Here, building
upon a quantum generalisation of Clopper-Pearson confidence intervals--a notion
known from classical statistics--we present a simple and reliable scheme for
generating confidence regions. These have the shape of a polytope and can be
computed efficiently. We provide several examples to demonstrate the practical
usability of the scheme in experiments.
