SOLUTION: . An investigator wants to estimate caffeine consumption in high school students. How many students would be required to estimate the proportion of students who consume coffee? S

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Question 766715: . An investigator wants to estimate caffeine consumption in high school students. How many students would be required to estimate the proportion of students who consume coffee? Suppose we want the estimate to be within 5% of the true proportion with 95% confidence.
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Q:
An investigator wants to estimate caffeine consumption in high school students. How many students would be required to estimate the proportion of students who consume coffee? Suppose we want the estimate to be within 5% of the true proportion with 95% confidence.
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A:
highlight%28385%29 students would be required if we assumed a proportion of 0.5.
Solution:
z%5B0.025%5D = 1.96
p = 0.5
q = 1-p = 0.5
E = 0.05
sample size = %28z%5E2%29%28pq%29%2F%28E%5E2%29 = %281.96%5E2%29%280.5%29%280.5%29%2F%280.05%5E2%29 = 384.16, round up
n for study = highlight%28385%29