SOLUTION: 5.The new Twinkle bulb is being developed to last more than 1000 hours. A random sample of 100 of these new bulbs is selected from the production line. It was found that 75 lasted
Algebra.Com
Question 324059: 5.The new Twinkle bulb is being developed to last more than 1000 hours. A random sample of 100 of these new bulbs is selected from the production line. It was found that 75 lasted more than 1000 hours. Find the point estimate for the population proportion, the margin of error for a 95% confidence and then construct to the 95% confidence interval for the population proportion p.
a. Find the margin of error E.
Round to three decimal places.
c. Construct a 95% confidence interval for the population proportion p of all Twinkle bulbs.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
5.The new Twinkle bulb is being developed to last more than 1000 hours.
A random sample of 100 of these new bulbs is selected from the production line. It was found that 75 lasted more than 1000 hours.
Find
the point estimate for the population proportion = 0.75
-------------------------
the margin of error for a 95% confidence
E = 1.96*sqrt[0.75*0.25/100] = 0.0849
---------------------
then construct to the 95% confidence interval for the population proportion p.
95% CI: 0.75-0.0849 < p < 0.75+0.0849
================
Cheers,
Stan H.
================
RELATED QUESTIONS
5. The new Twinkle bulb is being developed to last more than 1000 hours. A random sample... (answered by stanbon)
Hi
Any help you can give me on these problems will be greatly appreciated.
1)
The... (answered by stanbon)
Section 6.1: Confidence Intervals for the Mean (Large Samples)
1. Find the critical... (answered by stanbon)
Hello, Iam having some trouble with my statistics homework, please I hope some one can... (answered by stanbon)
2. The new Twinkle bulb has a standard deviation hours. A random sample of 50 light... (answered by stanbon)
A light bulb manufacturer finds that 5% of his bulbs last more than 1000 hours. An... (answered by Boreal)
If anyone can help me with these questions I would greatly appreciate it as I am having... (answered by stanbon)
a manufacturer of light bulbs claims that its new light bulb has a mean life of 1000... (answered by stanbon)
The new Twinkle bulb has a standard deviation 34 hours. A random sample of 77 light bulbs (answered by stanbon)