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They are applicable in different circumstances.
Assumed that there is no relationship between variables.
t test is used when- a) variables are studied b)the size of sample is a small one.(n<30) chi square test is studied when a) attributes are studied
The Chi-squared statistic can be used to test for association.
The Chi-square test is a statistical test that is usually used to test how well a data set fits some hypothesised distribution.