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What is the null hypothesis for a chi-square test?
What is the null hypothesis for a chi-square test?
Answer
The null hypothesis for a Chi-Square test depends on the type of Chi-Square test being conducted. Here are the null hypotheses for the various types of Chi-Square tests:
- Chi-Square Test for Independence:
- Null Hypothesis (H₀): There is no association between the two categorical variables. In other words, the variables are independent of each other.
- Chi-Square Test for Goodness of Fit:
- Null Hypothesis (H₀): The observed frequencies of the categorical data match the expected frequencies under the specified theoretical distribution.
- Chi-Square Test for Homogeneity:
- Null Hypothesis (H₀): The distribution of a categorical variable is the same across different populations or groups. In other words, the proportions are homogeneous across the groups.
- Chi-Square Test for a Contingency Table:
- Null Hypothesis (H₀): There is no relationship between the variables represented in the contingency table. The distribution of one variable is independent of the distribution of the other variable.
- Chi-Square Test for Population Proportions:
- Null Hypothesis (H₀): The proportions of the categorical outcomes are the same across the different groups or categories being compared.
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