SOLUTION: A car insurance company would like to estimate the proportion of accident claims covered by the company. According to the preliminary estimate,89% of the claims are covered. How la

Algebra ->  Probability-and-statistics -> SOLUTION: A car insurance company would like to estimate the proportion of accident claims covered by the company. According to the preliminary estimate,89% of the claims are covered. How la      Log On


   



Question 324568: A car insurance company would like to estimate the proportion of accident claims covered by the company. According to the preliminary estimate,89% of the claims are covered. How large of a sample should be taken to estimate the proportion covered by the company if we want to be 95% confident that the sample percentage is within 3% of the actual percentage of the accident covered by the company
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A car insurance company would like to estimate the proportion of accident claims covered by the company. According to the preliminary estimate,89% of the claims are covered. How large of a sample should be taken to estimate the proportion covered by the company if we want to be 95% confident that the sample percentage is within 3% of the actual percentage of the accident covered by the company
-------------------------------
Since E = z*sqrt(pq/n)
sqrt(n) = [z/E]sqrt(pq)
---
n = [z/E]^2*(pq)
----
Your Problem:
n = [1.96/0.03]^2*(0.89*0.11)
---
n = [4268]*(0.0979)
----
n = 418 when rounded up
============================
Cheers,
Stan H.