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Answer:
The researcher should use a sample size of at least 140 children to get a margin of error to be within 2%.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence interval
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
is the margin of error.
95% confidence interval
So , z is the value of Z that has a pvalue of
, so
.
We have that:
So
The researcher should use a sample size of at least 140 children to get a margin of error to be within 2%.