5. The Chi-Squared Test

null hypothesis

there is always no significant difference between the observed and expected result.

What is the x² test for

To see if a difference in the observed result from the expected is just due to chance or actually significant.

O

observed

E

expected result

sigma

sum of

if x² value is greater or equal to the critical value..

reject null hypothesis and accept original hypothesis, as something other than chance is causing the difference

if x² value is less than the critical value..

accept null hypothesis, as there is no significant difference and it is due to chance.