Alvin can save \(250\) a month for two years. This means he will save:
\[ 250 \text{ (dollars/month)} \times 12 \text{ (months/year)} \times 2 \text{ (years)} = 250 \times 24 = 6000 \text{ dollars}. \]
The total cost of his training is approximately \(9,500\) dollars. To find out how much his family needs to pay, we subtract the amount Alvin can save from the total training cost:
\[ 9,500 - 6,000 = 3,500 \text{ dollars}. \]
Therefore, Alvin's family will need to pay $3,500.