  We explore the design of an effective crowdsourcing system for an $M$-ary
classification task. Crowd workers complete simple binary microtasks whose
results are aggregated to give the final classification decision. We consider
the scenario where the workers have a reject option so that they are allowed to
skip microtasks when they are unable to or choose not to respond to binary
microtasks. Additionally, the workers report quantized confidence levels when
they are able to submit definitive answers. We present an aggregation approach
using a weighted majority voting rule, where each worker's response is assigned
an optimized weight to maximize crowd's classification performance. We obtain a
couterintuitive result that the classification performance does not benefit
from workers reporting quantized confidence. Therefore, the crowdsourcing
system designer should employ the reject option without requiring confidence
reporting.
