# Multinomial chi square with small expected values

I'm studying extinction in Austronesian languages, and am trying to find out if a subset of 384 languages is randomly selected with respect to extinction risk from a population of 1249 languages. "Extinction risk" can take 10 different values. But the first two expected values are very small (both 0.40) and make up most of the chi-square:

   Observed | 10   | 6    |  6   | 22    | 113   |  64    | 70    | 20    | 5     | 19
Expected | 0.40 | 0.40 | 5.63 | 10.86 | 59.54 | 129.54 | 90.11 | 25.74 | 12.07 | 13.68
Chi square  | 229.0| 77.9 | 0.0  | 11.4  | 48.0  |  33.1  |  4.5  |  1.3  |  4.1  |  2.1
contribution
----------- | --------------------------------------------------------------------------
Chi square:  411.44

Critical value (alpha = 0.01): 21.67 with 9 degrees of freedom


I've heard that it is best if the expected values stay above 5 (and that one might consider Yates's correction if they aren't). What correction would you suggest?