Question
Define simple random sampling. Choose the correct answer below. A. Simple random sampling is the process of selecting individuals from a population using a convenient sample. The sample is then called a simple random sample. B. Simple random sampling is the process of using chance to select individuals from a population to be included in the sample. The sample is then called a simple random sample. C. Simple random sampling is the process of obtaining a sample of size \( n \) from a population of the same size \( n \). The sample is then called a simple random sample. D. A sample of size \( n \) from a population of size \( N \) is obtained through simple random sampling if every possible sample of size \( n \) has an equally likely chance of occurring. The sample is then called a simple random sample.
Ask by Barber Chambers. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Simple random sampling is a method where every possible sample of size \( n \) from a population of size \( N \) has an equal chance of being selected.
Solution
The correct answer is:
**D. A sample of size \( n \) from a population of size \( N \) is obtained through simple random sampling if every possible sample of size \( n \) has an equally likely chance of occurring. The sample is then called a simple random sample.**
**Explanation:**
Simple random sampling is a fundamental sampling technique in statistics where each member of the population has an equal probability of being selected. This ensures that the sample is representative of the population, minimizing bias and allowing for generalization of the results.
- **Option A** is incorrect because it describes a convenience sample, which is not random.
- **Option B** is partially correct but lacks the specificity regarding every possible sample having an equal chance.
- **Option C** is incorrect as it mistakenly states that the sample size is equal to the population size.
- **Option D** accurately captures the essence of simple random sampling by emphasizing that every possible sample of size \( n \) has an equal probability of being chosen.
**Final Answer:**
**D. A sample of size \( n \) from a population of size \( N \) is obtained through simple random sampling if every possible sample of size \( n \) has an equally likely chance of occurring. The sample is then called a simple random sample.**
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
When it comes to simple random sampling, the magic lies in its fairness! Imagine everyone in a population has an equal ticket in a lottery; that’s how individuals are chosen for the sample. This method ensures that each member has an equal chance of being selected, which helps in creating a representative sample free from bias. In practice, this approach is widely used in studies ranging from market research to clinical trials. By employing techniques such as random number generators or drawing names from a hat, researchers eliminate any chance of favoritism, leading to results that can be generalized to the entire population. Who knew science could be so fair and exhilarating?
