In January $2005,$ a blogger predicted that the price of coffee in ten years would be $$4\mathrm{.}30.$ The blogger claimed his prediction would be within $4\%$ of the actual price of coffee in January $2015.$ In January $2005$ the coffee price was $$2\mathrm{.}90$ and in January $2015$ the coffee price was $$4\mathrm{.}05.$ Determine the percent error of the prediction. Was the blogger's claim correct or incorrect? Provide work or an explanation to justify your answer.