6. The speech recognition device according to claim 1 , wherein the communicator receives the third speech information from the server and outputs the received third speech information to the speech recognizer, the speech recognizer performs speech recognition on the third speech information received by the communicator and outputs a speech recognition result as fourth speech recognition result information, the communicator transmits the second speech information outputted by the noise remover to the server and receives a speech recognition result as third speech recognition result information from the server, the speech recognition result being obtained by performing speech recognition on the second speech information, and outputs the received third speech recognition result information to the determiner, and the determiner makes a selection as to which of the first speech recognition result information outputted by the speech recognizer, the second speech recognition result information received by the communicator, the third speech recognition result information received by the communicator, and the fourth speech recognition result information outputted by the speech recognizer should be outputted.
8. The speech recognition device according to claim 6 , further comprising: a speech section detector that detects a section of a speech uttered by a user in the first speech information acquired by the speech acquirer, wherein when the speech section is not detected by the speech section detector, the noise remover does not remove noise contained in the first speech information or output the second speech information, and the communicator does not transmit the first speech information to the server.