You want to know the favorite spring break destination among 1...

Question

You want to know the favorite spring break destination among 15,000 students at a university. Determine whether you would take a census or use a sampling. If you would use a sampling, determine which sampling technique you would use. Explain your reasoning.

Accepted Answer

Welcome back, everyone. A university administration wants to find out the most preferred study spot among 12,000 students on campus. Should they conduct a census or use sampling? If sampling is preferred, what sampling technique should they use? Explain your reasoning. A says they should use systematic sampling as it provides a structured way to select participants from the student population. B convenient sampling as it is quick and easy to collect data. C to conduct a census to obtain data from every student ensuring complete accuracy, and D, they should use sampling, specifically random sampling, because it ensures equal representation of all students. Now, let's try to figure out the first part of our problem. Should the administration use a census or use sampling? We recall that a census involves collecting data from the entire population while sampling involves selecting a subset of the population to represent the whole. So choosing between a census and sampling then, so a census versus sampling. OK, really just comes down to population size, OK. The time, the cost, and the practicality. That's what that's what it really matters here, or that's what really matters in this situation. Now here if we look at our problem we're told that they want to find it among 12,000 students. So the population is 12,000. Would it be easy to get all of this information from the 12,000 students? Well, no, conducting a census would be time consuming and impractical. Therefore, sampling is a more efficient choice, OK? So sampling is the better choice. And know if since sampling is preferred, what sampling technique should they use? Well, a good option here is simple random sampling to ensure that every student has an equal chance of being selected. This technique avoids selection bias and is suitable for a large population. Therefore, answer choice D is the correct answer. The administration should use sampling, specifically random sampling, because it ensures equal representation of all students. Thanks a lot for watching everyone. I hope this video helped.

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