Which of the following tests cannot be used to assess the variance in a dataset?

The one-proportion test is designed specifically to determine whether the proportion of a single categorical variable is significantly different from a hypothesized value. It typically assesses the proportion of success or failure in a sample relative to the entire population but does not provide information about the variance within the dataset itself. Instead, it focuses on the prevalence of a condition or characteristic, rather than the spread or diversity of the data points, which is what variance measures.

In contrast, ANOVA (Analysis of Variance) is used to compare the means among three or more groups and can also provide insights into the variance within and between those groups. The F-test is specifically designed to assess whether the variances of two groups are significantly different, making it a key tool for examining variability. The Chi-square test evaluates the association between categorical variables and can indicate variance in terms of expected versus observed frequencies. Thus, it can provide insight into the variability of categorical data.

By focusing on the function and intent of the one-proportion test in relation to variance, it's clear why this choice correctly identifies a test that is not suited for assessing variance within a dataset.