I am trying to calculate a p-value after fitting a distribution to some data. In one way, I use the Pearson's chi-square test and get a p-value=0.369. I then use the log-likelihood ratio method and get a p-value=0.97. Is it reasonable to get such different numbers? I tried taking the exponent of the log-likelihood ratio chi-square statistic, but then my p-value=0.79, which is still much higher than from the Pearson's chi-square test. Are the p-values supposed to be the same?