Which type of analysis determines whether there was a significant difference in the average donor solicitation amount between three nonprofit hospital events?

Logistic regression is used when the dependent variable is categorical, such as binary outcomes (e.g., yes/no, success/failure). It does not analyze differences in means among groups, making it unsuitable for comparing average solicitation amounts across multiple hospital events.

Time series analysis focuses on data points collected or recorded at specific time intervals. Its purpose is to identify trends, seasonal patterns, or cyclic behavior over time rather than comparing group means. Thus, it does not apply to the situation of assessing average donor solicitation amounts across different events.

Cluster analysis is a technique used to group similar objects or observations based on characteristics. It does not assess differences in means; instead, it identifies natural groupings within data. Therefore, it cannot determine significant differences in average donor solicitation amounts across the events in question.