In Act 3 Scene 1 Cladius and Gertude start to talk about the weird behavior of Hamletthen then Cladius the new king and Polonius who is (Ophelias dad) make Ophelia as a decoy when the make Rosencratz and Guildenstern to spy on Hamlet, then later on in the Act 3 Scene 1 Cladius decides to send Hamlet to England “to make money.” Cladius admits he killed his brother, Hamlets dad and his own brother to the audience. So the ghost was not lying to Hamlet