Question

A chip manufacturer tests the microprocessors produced from the production process. The company made a statement (claim) that only 4% of its microprocessor production was damaged. To test whether the claim is true, a study was conducted by taking a sample of 577 microprocessors, which found 37 of them were damaged. Can the statement (claim) be rejected or accepted with a 99% confidence level?

Answer 1

H0:p=0.04

H1:p≠0.04

p=0.04, n=577 , ṗ=37 /577 =0.064

z=$(ṗ-p)/\sqrt{(p(1-p))/n}$ =0.024/0.008157=2.94

C.V.=±2.58

2.94>2.58, so we reject the null hypothesis - claim rejected with a 99% confidence level