To test how well observations agree with some expected distribution. The latter is often non-parametric so that tests based on the Gaussian (Normal) distribution are not appropriate.
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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.
Yes, the chi-square test can be used to test how well a binomial fits, provided the observations are independent of one another and all from the same (or identical) binomial distribution.
There are many chi-squared tests. You may mean the chi-square goodness-of-fit test or chi-square test for independence. Here is what they are used for.A test of goodness of fit establishes if an observed frequency differs from a theoretical distribution.A test of independence looks at whether paired observations on two variables, expressed in a contingency table, are independent of each.
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