Final answer:
The most appropriate statistical test for determining if movie theater attendance varies by ethnic group is Analysis of Variance (ANOVA). The correct answer is d) analysis of variance.
Step-by-step explanation:
The question asks which statistical test is most appropriate to determine if the likelihood of attending a movie theater varies by ethnic group, where the dependent variable is metric (which implies it is quantitative).
The most suitable test in this scenario is analysis of variance (ANOVA). ANOVA is used to determine if there are any statistically significant differences between the means of three or more independent (unrelated) groups.
This fits the provided scenario because you are comparing the average movie-going frequency of different ethnic groups. A t-test would only be appropriate for comparing two groups, while a chi-square test is used for categorical data.