•Used to determine if there is a significant difference between the expected and observed data
•Null hypothesis: There is NO statistically significant difference between expected & observed data
•Any differences are due to CHANCE alone
x2 = E (o-e)2 / e
1.Determine null hypothesis
•All frequencies are equal –OR– Specific frequencies given already
2.Use formula to calculate χ2 value:
•n = # of categories, e = expected, o = observed
3.Find critical value using table (Use p=0.05).
•degrees of freedom (df) = n – 1
4.If χ2 < Critical Value, then ACCEPT null hypothesis. Differences in data are due to chance alone.
If χ2 > Critical Value, REJECT the null hypothesis: Differences in data are NOT due to chance alone!
critical values: