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

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) (Show Source): You can put this solution on YOUR website!
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 yield a 12% rate of lefties.
---
Binomial with n = 250 and p = 0.12
P(0<= x <= 25) = binompdf(250,0.12,25) = 0.0509
-----------------------------
Can we conclude that this process of selecting jurors discriminates against lefties?
It's lower than the rate of lefties in Orange County.
==================
Cheers,
Stan H.

RELATED QUESTIONS
60% of all people are eligible for jury duty and favor capital punishment. A jury of 12... (answered by stanbon)

In a small county, there are 140 people on any given day who are eligible for jury duty.... (answered by ikleyn)

Suppose 60% of all people who are eligible for jury duty in a large Florida city are in... (answered by edjones)

Suppose 60% of all people who are eligible for jury duty in a large Florida city are in... (answered by robertb)

5. in a particular calendar year 10 percent of the registered voters get called for for... (answered by jorel555)

During a period of 11 years 1908 of the people selected for grand jury duty were... (answered by Boreal)

Have you ever tried to get out of jury duty? About 25% of those called will find an... (answered by ikleyn)

Here is my question (I have searched the textbook, tried every potential formula yet I am (answered by zach222)

Twenty people report for jury duty. How many different 12-person juries can be... (answered by Edwin McCravy)