You probably find it hard to believe because of the high level of anti-Venezuela propaganda the Americans put out.
e.g. some facts about the economy under Chavez :-
GDP more than tripled since he was elected (not crashing and burning as US media claims)
Inflation significantly lower since Chavez elected (not racing towards hyper inflation as US media claims). Inlfation was 38% when he was elected, never got that high again. (It hit 115% in 1997 - they never tell you that, do they?)
These and many other things I like to call "facts" are easily checked.
Here's a report on the 10th anniversary of Chavez's government (by Washington-based CEPR NGO)
http://venezuelanalysis.com/indicators (PDF).
One example - once the socialists wrestled the control of the national oil company from the old oligarchy in 2003, the economy grew by an average of 13.5% per annum for 5 years straight (2003 - 2008). For 20 years before the socialists were elected, there was no growth at all, but a lot of revenue disappearing. No media coverage of this fact at all, they only cover bad news from Venezuela, not good news. When the old pro-US right-wing government had 100%+ inflation, that was also not newsworthy. Now, any time inflation goes near 30%, they talk about "hyper-inflation" because there's a socialist government elected.
Also, overall government spending and military spending by Venezuela is a lot lower than their "capitalist" neighbours, not higher as you might believe if you trust the media. USA government spends 40% of GDP, Venezuela: about 20-25% of GDP.
Venezuela Military spending is 1.2% of GDP, which puts paid to media theories that Chavez is triggering an "arms race". Also Chavez has signed defence treaties with all other nations in South America (UNASUR, South American Defence Council, etc), and is a major proponent of regional integration and friendship treaties, which seems at odds with the idea that he's isolated and is threatening his neighbors with invasion.
As a comparison, Colombia spent 3.4% GDP on military, and USA spent 4.06% GDP. Also, Colombia is they type of country that bombs neighboring countries and claims they are all terrorist nations out to destroy Colombia (see bombing of Ecuador in 2008). Venezuela was labelled the aggressor by the US media for telling the Colombians he'd stand up for Ecuador if Colombia attacked them again.
I get my figures from CIA world fact book, btw.