In a one-sample chi-square test, when the respondents are distributed very close to each other across the levels of the variable, the chi-square value will be low.
A chi-squared test is a statistical hypothesis test that is valid to perform when the test statistic is chi-squared distributed under the null hypothesis, specifically Pearson's chi-squared test and variants thereof.
A statistical technique called the chi-square test is used to compare actual outcomes with predictions. The goal of this test is to establish whether a discrepancy between observed and expected data is the result of chance or a correlation between the variables you are researching.
As it applies to categorical variables, chi-square is most frequently utilized by researchers who are analyzing survey response data. This kind of study includes, among other things, demographics, consumer and marketing research, political science, and economics.
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