Final answer:
Alex utilizes a two-stage random sampling method to select a representative subset of hotel employees in Mindanao for his study, similar to randomly selecting a manageable number of algebra students from a larger city-wide population.
Step-by-step explanation:
Alex's research approach involves sampling a subset of a larger population to conduct a study on hotel employees in Mindanao. Since that population is too extensive, he uses a two-stage sampling method. First, he selects ten hotels randomly, and then he includes all employees from those hotels as his study participants. This strategy mirrors what might be done if the population of interest were, for instance, algebra students in a specific city. To ensure a diverse and representative sample, a researcher might randomly pick a certain number of students from different schools to participate in an experiment.
Like with our hypothetical algebra students, Alex is attempting to create a sample that can represent the larger population of hotel employees. The objective is to generalize findings while minimizing the potential for a biased sample. The representation of the population by the sample significantly affects the study's success and its conclusions' legitimacy.