The main purpose of collecting a simple random sample is to gather evidence for a complaint while ensuring equal representation of all students in the findings. This method allows for generalizations about the entire class's satisfaction with the teaching methods without surveying all 400 student
The purpose of collecting a simple random sample of 25 students in a class of 400 is to gather evidence for a complaint to higher authorities regarding the teaching methods. A simple random sample provides a fair representation of the overall student opinion, ensuring that each student has an equal chance of being selected, thus minimizing bias and giving an accurate reflection of the class's views on teaching methods. By obtaining responses from a representative sample, you can make generalizations about the entire class's satisfaction level, identify specific issues, and compare opinions across different student groups. The intention behind this sampling is not only to confirm the existence of an issue but to also have tangible data that can support the student's complaint.
In this scenario, collecting a random sample is essential because surveying all 400 students might be impractical and resource-intensive. Sampling allows for the estimation of the overall satisfaction level without the need to gather data from every individual, which is particularly useful in large populations. The student can then use the findings from the sample to make an informed case about the teaching methods to the college administration or other relevant authorities.