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 98% confidence interval to be no more than 3%, 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.]

1509

Step-by-step explanation:

Given : A researcher wants to conduct a study to estimate the proportion of acetaminophen users who have liver damage.

With

Confidence level = 98%

Margin of error : E=0.03

We know that the z-value for 98% confidence =  [using z-value table]

Formula to find the sample size : , where p is the prior estimate of population proportion.

The researcher has no expectations about what the sample proportion should be ahead of time, so we should use p = 0.5 to get the most conservative estimate.

Then ,

Simplify ,

The minimum number of subjects that she needs to recruit = 1509

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