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Morganwing1019
15.11.2019 •
Mathematics
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.]
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Ответ:
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 ,![n=(0.5)(1-0.5)(\dfrac{2.33}{0.03})^2](/tpl/images/0374/9344/5e8b1.png)
Simplify ,
The minimum number of subjects that she needs to recruit = 1509
Ответ:
horizontal.
Step-by-step explanation:
it goes straight up