The best way to evaluate the success of the New Deal in ending the Depression is to look at major macroeconomic statistics. You should look at things like the GDP of the United States as well as at its unemployment rate. These are generally seen as the two most important indicators of a country's economic performance.
If we look at the unemployment rate for the US, we can see that the New Deal did not really end the Depression. The unemployment rate for the US in 1929 was 3.2%. by 1940, it was still 14.6. This was down from a high of 24.9% in 1933. This indicates that the New Deal helped to improve the economy but did not return it to how it had been before the Depression. (Source:Macroeconomics by David N. Hyman, inside front cover.)