Question

A manufacturer claims that only 4% of his product supplied by him are defective. A random sample of 600 products contains 35 defective. Test the claim of manufacturer.

Answer 1

It is wrong question

Answer 2

Given,

A manufacturer claims that only 4% of his product supplied by him are defective.

To Find,

A random sample of 600 products contains 35 defective. Test the claim of the manufacturer.

Solution,

We can solve the question as follows:

It is given that a manufacturer claims that only 4% of his product supplied by him are defective. A random sample of 600 products contains 35 defective. We have to test the claim of the manufacturer.

Since only 4% of the product should be defective, we will find 4% of the random sample of 600 products.

$= 4$% $of\: 600$

$= \frac{4}{100} * 600$

$= 4*6$

$= 24$

Therefore, only 24 products should be defective. However, it is given that the random sample contains 35 defective products.

Hence, the claim of the manufacturer is incorrect.