The supplier claims that, among the high-end padlocks, there are no more than $3\%$ of defective padlocks in his production. The manager of the hardware store wishes to verify the validity of this claim in his stock; for this purpose, he takes a random sample of 500 high-end padlocks, and finds 19 that are defective. Does this check call into question the fact that the stock contains no more than $3\%$ of defective padlocks? For this, you may use an asymptotic fluctuation interval at the $95\%$ threshold.
The supplier claims that, among the high-end padlocks, there are no more than $3\%$ of defective padlocks in his production. The manager of the hardware store wishes to verify the validity of this claim in his stock; for this purpose, he takes a random sample of 500 high-end padlocks, and finds 19 that are defective.
Does this check call into question the fact that the stock contains no more than $3\%$ of defective padlocks?
For this, you may use an asymptotic fluctuation interval at the $95\%$ threshold.