If it can be assumed that the binomial parameter θassumes a value close to zero, upper confidence limits ofthe form θ < C are often useful. For a random sample ofsize n, the one-sided intervalθ <12nχ2α,2(x+1) has a confidence level closely approximating (1 − α) 100%. Use this formula to find a 99% upper confi-dence limit for the proportion of defectives produced by a process if a sample of 200 units contains threedefectives.
If it can be assumed that the binomial parameter θassumes a value close to zero, upper confidence limits ofthe form θ < C are often useful. For a random sample ofsize n, the one-sided intervalθ <12nχ2α,2(x+1) has a confidence level closely approximating (1 − α) 100%. Use this formula to find a 99% upper confi-dence limit for the proportion of defectives produced by a process if a sample of 200 units contains threedefectives.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
If it can be assumed that the binomial parameter θ
assumes a value close to zero, upper confidence limits of
the form θ < C are often useful. For a random sample of
size n, the one-sided interval
θ <
1
2n
χ2
α,2(x+1)
has a confidence level closely approximating (1 − α)
100%. Use this formula to find a 99% upper confi-
dence limit for the proportion of defectives produced
by a process if a sample of 200 units contains three
defectives.
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