QuestionWhat evidence best supports the claim that more than of children carry a virus? Choose from the options given.
Studdy Solution
STEP 1
Assumptions1. The known percentage of children carrying the virus is4%
. The researcher suspects that the actual percentage is higher than4%
3. The evidence to support the researcher's suspicion would be a higher percentage of children carrying the virus in a random sample
STEP 2
We need to calculate the percentage of children carrying the virus in each of the given samples. The formula to calculate the percentage is
STEP 3
Calculate the percentage for option A.
STEP 4
Calculate the percentage for option B.
STEP 5
Calculate the percentage for option C.
STEP 6
Calculate the percentage for option D.
STEP 7
Now, let's calculate the percentages.
STEP 8
From the calculated percentages, we can see that options A, B, and C have a higher percentage (5%) of children carrying the virus than the known percentage (4%). However, option D has a lower percentage (4.2%) than the known percentage.
Therefore, the most convincing evidence to support the researcher's suspicion would be the sample with the highest percentage of children carrying the virus, which is5%. This is found in options A, B, and C. However, since option C has a much larger sample size (5,000 children), it provides the most convincing evidence.
The answer is option C Out of5,000 randomly chosen children,250 children carry the virus.
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