  We present complete constraints imposed from observations of the cosmic
microwave background radiation (CMBR) on the chaotic inflationary scenario with
a nonminimally coupled inflaton field proposed by Fakir and Unruh (FU). Our
constraints are complete in the sense that we investigate both the scalar
density perturbation and the tensor gravitational wave in the Jordan frame, as
well as in the Einstein frame. This makes the constraints extremely strong
without any ambiguities due to the choice of frames. We find that the FU
scenario generates tiny tensor contributions to the CMBR relative to chaotic
models in minimal coupling theory, in spite of its spectral index of scalar
perturbation being slightly tilted. This means that the FU scenario will be
excluded if any tensor contributions to CMBR are detected by the forthcoming
satellite missions. Conversely, if no tensor nature is detected despite the
tilted spectrum, a minimal chaotic scenario will be hard to explain and the FU
scenario will be supported.
