A wholesaler in apples claims that only 4% of the apples supplied by him are defective. A random sample of 600

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Q. A wholesaler in apples claims that only 4% of the apples supplied by him are defective. A random sample of 600 apples contained 36 defective apples. Calculate the standard error concerning good apples.

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Use $S.E.(p)=\sqrt{\frac{pq}{n}}$ with $p=0.96$ (good), $q=0.04$ , $n=600$ ; result $=0.008$ .

The wholesaler claims $4\%$ defective, so the proportion of good apples is $p=1-0.04=0.96$ and $q=1-p=0.04$ . The sample size is $n=600$ .

Step 1 — Standard error of a proportion:

$S.E.=\sqrt{\frac{pq}{n}}.$

Step 2 — Substitute: …

Q.A wholesaler in apples claims that only 4% of the apples supplied by him are defective. A random sample of 600 apples contained 36 defective apples. Calculate the standard error concerning good apples.