Does the lottery method always give you a random sample? Explain.
Yes, the lottery method gives a random sample. In this method, the names of all units in the population are written on paper, mixed properly, and then selected one by one.
Every individual has an equal chance of being selected through this method. Since all units get an equal chance of being included in the sample and there is no bias or judgment involved in the selection process, the sample drawn is a random sample. This ensures that the selection is free from the investigator's convenience or judgment.
Explanation
The textbook context clearly describes the lottery method as a random sampling technique where names are written on paper, mixed, and selected one by one. The key characteristic of random sampling is that every individual has an equal chance of being selected, which the lottery method ensures. The context contrasts this with non-random sampling where convenience or judgment plays a role. Since the lottery method eliminates bias and gives equal probability of selection to all units, it produces a random sample.