SOLUTION: In orange county, 12% of those eligible for jury duty are left-handed. Among 250 people selected for jury duty, 25 (or 10%) are lefties. Find the probability of getting at most 25

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Question 320472: In orange county, 12% of those eligible for jury duty are left-handed. Among 250 people selected for jury duty, 25 (or 10%) are lefties. Find the probability of getting at most 25 lefties assuming that they are chosen with a process designed to yeild a 12% rate of lefties. Can we conclude that this process of selecting jurors discriminates against lefties?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In orange county, 12% of those eligible for jury duty are left-handed.
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Among 250 people selected for jury duty, 25 (or 10%) are lefties.
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Find the probability of getting at most 25 lefties assuming that they are chosen with a process designed to yield a 12% rate of lefties.
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Binomial with n = 250 and p = 0.12
P(0<= x <= 25) = binompdf(250,0.12,25) = 0.0509
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Can we conclude that this process of selecting jurors discriminates against lefties?
It's lower than the rate of lefties in Orange County.
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Cheers,
Stan H.