Describe a situation where you would use a chi-square test vs. a t-test?

During my final year in college, I worked on a group project where we surveyed students about their study habits and grades. We gathered categorical data, such as whether students preferred studying alone or in groups and their corresponding grades (A, B, C, etc.). To analyze the relationship between these variables, we used a chi-square test to see if there was a significant association between study preference and academic performance. This approach allowed us to understand how different study habits might influence students' grades, making our findings relevant and insightful for our peers.

While volunteering for a local health awareness campaign, I helped analyze the effectiveness of our outreach efforts. We collected data on the number of individuals who participated in our workshops and their health outcomes before and after the sessions. For this, we used a t-test to compare the average health scores of participants before and after the workshops since these scores were continuous data. This analysis helped us assess whether our workshops effectively improved health awareness among the community, guiding our future initiatives.

In my first job as a marketing assistant, I was involved in a study on customer satisfaction across different demographic groups. We collected data on customer ratings (1-10 scale) and wanted to compare the average satisfaction scores between two age groups. Here, we applied a t-test to determine if there was a significant difference in satisfaction levels. This analysis not only provided insights into customer preferences but also shaped our marketing strategies to better cater to various age demographics.