Question

a sample of 1300 computer chips revealed that 39% of the chips fail in the first 1000 hours of their use. the companys promotional literature claimed that less than 42% fail in the first 1000 hours of their use. is there sufficient evidence at the 0.01 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 $p$ is at least the value in the company's claim's opposite. So $H_0:p\geq0.42$.

Step2: Define alternative hypothesis

The alternative hypothesis $H_a$ is what we are trying to find evidence for. The company claims that less than 42% fail, so $H_a:p < 0.42$.

Answer:

$H_0:p\geq0.42$
$H_a:p < 0.42$