A manufacturer receives parts from two suppliers. An SRS of 400 parts from suppl

Question

A manufacturer receives parts from two suppliers. An SRS of 400 parts from supplier 1 finds 20 defective. An SRS of 200 parts from supplier 2 finds 20 defective. Let p1 and p2 be the proportion of all parts from suppliers 1 and 2, respectively, that are defective. What is the pooled sample proportion of defective parts from both suppliers? 0.0750 0.0667 0.05 A manufacturer receives parts from two suppliers. An SRS of 400 parts from supplier 1 finds 20 defective. An SRS of 200 parts from supplier 2 finds 20 defective. Let p1 and p2 be the proportion of all parts from suppliers 1 and 2, respectively, that are defective. What is the pooled sample proportion of defective parts from both suppliers? 0.0750 0.0667 0.05

Explanation / Answer

There are ntot = 400+200 = 600 parts in all.

Of them, xtot = 20+20 = 40 defective.

Hence,

p(pooled) = xtot/ntot = 40/600 = 0.066666667 [ANSWER, B]

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