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.
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Chi-square is a statistic used to assess the degree of the relationship and degree of association between two nominal variables
The Chi-square test is a statistical test that is usually used to test how well a data set fits some hypothesised distribution.
Linnaeus
Yes, but that is not the only property used.
Binomial distribution is learned about in most statistic courses. You could use them in experiments when there are two possible outcomes and each experiment is independent.