Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: CREATE TABLE table_name_96 ( earnings___ INTEGER, rank VARCHAR, country VARCHAR, wins VARCHAR )

### Question ###
What is the average earnings of the player from the United States with a win smaller than 2 and a rank larger than 3?

### Accurate SQL ###

SELECT AVG(earnings___) AS $__ FROM table_name_96 WHERE country = "united states" AND wins < 2 AND rank > 3