Difference between status and state?

A hotel room might have a status of standard, de-luxe or honeymoon-suite. That same room may have a state of being dishevelled or clean.

A project progresses through a series of predefined stages. Its status tells you where it is in that series. Its state might be in disarray or on target regardless of status.

In considering this I asked myself two questions: What is the status of X? What sort of state is X in?

In reality, I suspect there is considerable overlap in the usage of state and status.