What does it mean if the Chi-square test for goodness of fit is statistically significant?

  • The observed data and theoretical distribution are negatively correlated
  • The observed data and theoretical distribution are positively correlated
  • The observed data differs significantly from what we would expect if it followed the theoretical distribution
  • The observed data fits the theoretical distribution perfectly
If the Chi-square test for goodness of fit is statistically significant, this means that the observed data differs significantly from what we would expect if the data followed the theoretical distribution.
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