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Chapter 1: Problem 42

State whether or not the sampling method described produces a random sample from the given population. The population is the approximately 25,000 protein-coding genes in human DNA. Each gene is assigned a number (from 1 to 25,000 ), and computer software is used to randomly select 100 of these numbers yielding a sample of 100 genes.

Short Answer

Expert verified
Yes, the described sampling method does yield a random sample from the given population of protein-coding genes in human DNA.

Step by step solution

01

Understanding the Sampling Method

In this step, a closer look is given at the described method of sampling. Every gene from the approximately 25,000 protein-coding genes in human DNA is assigned a distinct number, from 1 to 25,000. Computer software then randomly picks 100 of these numbers, which represents a sample of 100 genes.
02

Applying the Definition of Random Sampling

Now, the definition of random sampling must be applied to the method described. The key parts to consider are that each individual (in this case, each gene) gets chosen randomly and entirely by chance, and each has the same probability of being chosen at any stage during the sampling process. Here, every gene has an equal opportunity of being selected because each gene is assigned a unique number that has an equal chance of being picked by the software.
03

Conclusion

Comparing the sampling method with the definition of random sampling, it is clear that the process described in the exercise does produce a random sample. This is because every gene had an equal shot of being included in the sample, and the selection was made randomly.

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