Question

a sample of 1500 computer chips revealed that 41% of the chips fall in the first 1000 hours of their use. the companys promotional literature claimed that less than 44% fall in the first 1000 hours of their use. is there sufficient evidence at the 0.02 level to support the companys claim? state the null and alternative hypotheses for the above scenario.

Explanation:

Step1: Define null hypothesis

The null hypothesis ($H_0$) is a statement of no - effect or no difference. Here, it assumes the proportion is at least what the company is trying to disprove. So, $H_0:p\geq0.44$.

Step2: Define alternative hypothesis

The alternative hypothesis ($H_a$) is what the company claims. Since the company claims that less than 44% of the chips fail in the first 1000 hours, $H_a:p < 0.44$.

Answer:

$H_0:p\geq0.44$
$H_a:p < 0.44$