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500 articles from a factory are examined and found to be $2 \%$ defective. 800 similar articles from a second factory are found to have only $1.5 \%$ defective. Can it reasonably be concluded that the
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written 2.1 years ago by | • modified 2.1 years ago |
Solution:
$ n_{1}=500, n_{2}=800\\ $
$ p_{1}=$ proportion of defective from first factory $=2 \%=0.02\\ $
$ p_{2}=$ proportion of defective from second factory $=1.5 \%=0.015\\ $
$\mathrm{H}_{0}$ : There is no significant difference between the two products $i$.e., the products do not differ in quality. $ \begin{aligned} &\mathrm{H}_{1}: p_{1}<p_{2} …