Question

a sample of 1300 computer chips revealed that 51% of the chips do not fail in the first 1000 hours of their use. the companys promotional literature claimed that 54% do not fail in the first 1000 hours of their use. is there sufficient evidence at the 0.05 level to dispute the companys claim? state the null and alternative hypotheses for the above scenario. answer $h_0$: blank $h_a$: blank

Explanation:

Step1: Define null hypothesis

The null hypothesis $H_0$ is the claim we assume to be true initially. Here, the company's claim is that 54% do not fail in the first 1000 hours. So $H_0:p = 0.54$.

Step2: Define alternative hypothesis

We want to test if there is evidence to dispute the claim. Since we are just checking if the proportion is different from 0.54, the alternative hypothesis $H_a:p
eq0.54$.

Answer:

$H_0:p = 0.54$
$H_a:p
eq0.54$