what does demagoguery mean and did i spell it correctly?

Yes, you spelled it correctly! Demagoguery refers to the practice of appealing to people's emotions and prejudices rather than their rationality, especially in order to gain power or popularity. A demagogue is someone who uses demagoguery as a strategy to gain support from a particular audience, often by making false or misleading statements, stirring up fear and anger, and making promises they cannot fulfill. Demagogues often use simplistic slogans, scapegoating, and appeals to nationalism or tribalism to galvanize their followers. The term "demagoguery" is often used in a negative sense to describe politicians or other leaders who use these tactics to manipulate public opinion and gain power.