Michael Swan agrees with Webster on the use of "hopefully":

Hopefully has two meanings. One is similar to "full of hope", "hoping".
She sat there waiting hopefully for the phone to ring.

The other meaning (a much newer one) is similar to "it is to be hoped that" - it shows the speaker's attitude to what he is saying.
Hopefully, inflation has started to drop.

Some people consider the second use "incorrect".

End of quote.

Best wishes,

Bente