Final answer:
The data for a chi-square test consist of frequencies, which are the counts of how often each category occurs in the data set. Frequencies are non-numerical and used in tests of independence or homogeneity.
Step-by-step explanation:
The data for a chi-square test consist of d. frequencies. These frequencies are a count of how often each category or outcome occurs in the data set. The categories used in chi-square tests are non-numerical and are often presented in the form of contingency tables or cross-tabulations that display the frequency of different outcomes. In a chi-square test, such as a test of independence or homogeneity, we use these frequencies to compare the observed data with the expected data under the hypothesis being tested.
For example, if a chi-square test of independence is being used to determine if two categorical variables are independent, the frequencies of observed outcomes in various categories are compared to the frequencies we would expect if the variables were indeed independent. Similarly, a chi-square test of homogeneity compares the frequencies of categories between different populations or groups to see if they come from the same distribution.