  The lack of correlations on the large scale cosmic microwave background (CMB)
anisotropy provides a potential window to probe beyond the standard
inflationary scenario. In this paper, we investigate the primordial power
spectrum based on the Hartle-Hawking (HH) no-boundary proposal for a
homogeneous, isotropic, and spatially-closed universe that leads to a
Starobinsky-type inflation after the classicalization. While we found that
there is no suppression at large scales in the standard R + R^2 theory, we also
found that it is possible to sufficiently suppress the large-scale power
spectrum if a pre-inflation stage is introduced to the Starobinsky-type model.
We calculate the C^TT_l correlation function and show that our proposal gives a
better fit to the Planck CMB data. l This suggests that our universe might have
begun with a compact HH state with a small positive curvature.
