A sports club has 45 members. To choose 6 members for a survey, the name of each member is written on an identical slip, the slips are mixed well in a box, and 6 slips are drawn without looking. This method of choosing the sample is
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → simple random sampling
The slips are identical and well mixed, so every member, and every possible group of 6 members, has the same chance of being drawn. Choosing a sample entirely by chance in this way is simple random sampling (the lottery method).
It is not systematic sampling, because members are not taken at a regular interval from a list. It is not convenience or voluntary response sampling, because nobody is chosen for being easy to reach or for offering to take part.