in a hopeful manner: We worked hopefully and energetically, thinking we might finish first.
it is hoped; if all goes well: Hopefully, we will get to the show on time.

1630–40; hopeful + -ly

Although some strongly object to its use as a sentence modifier, hopefully meaning “it is hoped (that)” has been in use since the 1930s and is fully standard in all varieties of speech and writing: Hopefully, tensions between the two nations will ease. This use of hopefully is parallel to that of certainly, curiously, frankly, regrettably, and other sentence modifiers.
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World English Dictionary
hopefully (ˈhəʊpfʊlɪ)
1.  in a hopeful manner
2.  informal it is hoped: hopefully they will be here soon
usage  The use of hopefully to mean it is hoped used to be considered incorrect by some people but has now become acceptable in informal contexts

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
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Example sentences
Let's engage in a spirited defense of the word hopefully.
Most likely, other people are having the same problems you are, so hopefully
  somebody found a remedy.
It's the only way they'll be able to bring their economy back up and hopefully
  keep it there.
Hopefully such a parsimonious theory can be found in this case.
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