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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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

written 3.0 years ago by

prajapatijaimin • 3.3k

• modified 3.0 years ago

engineering mathematics

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written 3.0 years ago by

prajapatijaimin • 3.3k

• modified 3.0 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} …

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