SOLUTION: You test 100 light bulbs randomly out of a large shipment and find 6 of them to be defective. What margin of error would you need if you want a 95% confidence interval? What is

Algebra.Com
Question 1071753: You test 100 light bulbs randomly out of a large shipment and find 6 of them to be defective. What margin of error would you need if you want a 95% confidence interval?
What is the 95% confidence interval in this case?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
You test 100 light bulbs randomly out of a large shipment and find 6 of them to be defective. What margin of error would you need if you want a 95% confidence interval?
What is the 95% confidence interval in this case?
----
sample proportion:: 6/100
ME = 1.645*sqrt[0.06*0.94/100] = 0.0391
-----
95% CI:: 0.06-0.0391 < p < 0.06+0.0391
95% CI:: 0.029 < p < 0.0991
----------------
Cheers,
Stan H.
------------

RELATED QUESTIONS

2% of all new light bulbs are defective. Out of a shipment of 10,000 light bulbs, how... (answered by fractalier)
in a shipment of fluorescent light bulbs, 1/50 of them are defective. What is the ratio... (answered by TimothyLamb)
in a shipment of fluorescent light bulbs, 1/50 of them are defective. What is the ratio... (answered by TimothyLamb)
In a shipment of fluorescent light bulbs, 1/50 of them are defective. What is the ratio... (answered by ikleyn)
A shipment contains 100 items, 20 of which are defective. You randomly select 10 items... (answered by ewatrrr)
Consider a shipment of 50 light bulbs and it is known that 2 are defective. If you... (answered by stanbon)
A a quality control inspector examined 100 light bulbs and found 7 defective.at this rate (answered by Theo)
In a shipment of 1,000 light bulbs, 1/40 of the bulbs were defective. What is the ratio... (answered by stanbon)