It is believed that large doses of acetaminophen (the active ingredient in over

Question

It is believed that large doses of acetaminophen (the active ingredient in over the counter pain relievers like Tylenol) may cause damage to the liver. A researcher wants to conduct a study to estimate the proportion of acetaminophen users who have liver damage. If she wants to limit the margin of error of her 95% confidence interval to be no more than 2%, what is the minimum number of subjects that she needs to recruit?

[Note: The researcher has no expectations about what the sample proportion should be ahead of time, so she – and you – should use p = 0.5 to get the most conservative estimate.]

Answer:

Explanation / Answer

here as there is no prior estimation; p=0.5

for 95% CI, z=1.96

and margin of error E =0.02

hence sample size n=p(1-p)*(z/E)2 =~2401

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