Final answer:
Closed-ended questions gather quantitative data, while open-ended questions collect qualitative data in research methodology.
Step-by-step explanation:
In research methodology, closed-ended questions are those that can be answered with a simple 'yes' or 'no' or by selecting an option from a provided list. These questions are used to gather quantitative data, which is easier to tabulate and analyze. On the other hand, open-ended questions require participants to provide detailed responses in their own words. These questions are used to collect qualitative data, which provides a deeper understanding of participants' thoughts, beliefs, and experiences.