A representative sample of 400 of the 50,000 members of a sports club is questioned, and 240 of them say that they prefer evening matches. Based on this sample, the estimated number of members of the club who prefer evening matches is
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 30,000
A representative sample reflects the features of the population, so the proportion in the sample is taken as the proportion in the population.
Proportion in the sample:
\( \displaystyle\frac{240}{400} = 0.6 \)
Estimated number in the club:
\(0.6 \times 50000 = 30000\)