Yes. It is a statistical test.
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Yes, Chis squared test are among the most common nonparametric statistics tests.
Fisher's exact probability test, chi-square test for independence, Kolmogorov-Smirnov test, Spearman's Rank correlation and many, many more.
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.
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