It is known that 4% of children carry a certain virus, but a leading health rese

Question

It is known that 4% of children carry a certain virus, but a leading health researcher suspects that the percentage is actually higher. Which of the following provides the most convincing evidence to support the researcher’s suspicion?

A. Out of 20 randomly chosen children, 1 child carries the virus.

B. Out of 60 randomly chosen children, 3 children carry the virus.

C. Out of 5,000 randomly chosen children, 250 children carry the virus.

D. Out of 5,000 randomly chosen children, 210 children carry the virus.

Explanation / Answer

C) For a higher sample size, 5000 the probability of carrying virus is 250/5000=0.05 that is 5% (>4%). So this is more convincing result compared to small sample size of 60, which too yield higher percentage than actual. The rest are not valid.

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