What are the key differences between statistics and econometrics in terms of their methodologies and applications?

Statistics is a branch of mathematics that focuses on collecting, analyzing, and interpreting data to make informed decisions. It involves techniques such as hypothesis testing, regression analysis, and probability theory. Econometrics, on the other hand, is a specialized branch of statistics that applies statistical methods to economic data. It combines economic theory with statistical techniques to analyze and model economic relationships. Econometrics is specifically used in economics to test economic theories, forecast economic trends, and evaluate policy interventions.