The answer to the question is a) chi-square test.
The appropriate statistical test when examining cross-tabulations is the chi-square test. This test is used to determine whether there is a significant association between two categorical variables.
The chi-square test calculates the difference between the observed frequencies in the cross-tabulation table and the expected frequencies under the null hypothesis of no association.
A large chi-square statistic indicates that the observed frequencies are significantly different from the expected frequencies, and that there is a statistically significant association between the two variables.
The other options are not appropriate for examining cross-tabulations:
t-tests are used to compare the means of two continuous variables.
z-tests are used to compare a sample proportion to a population proportion.
One-way ANOVAs are used to compare the means of three or more groups of continuous variables.
Therefore, the answer to the question is a) chi-square test.