HAUSMAN test for neg bin Random and Fixed effect models

Hi!

I'm using negative binomials models and I'm turning them into Random Effects Models and Fixed Effects Models (using for random effect the command "menbreg" and for the fixed effect the command "nbreg" with a specification.

I attached my hausman test, the results are unclear to me: the prob>chi2 is a high negative number.

Could someone help me to interpret it?
Is it normal that results completely change if I use "hausman random fixed" instead of "hausman fixed random"?

Thank you so much in advance,
Roberta