Problem
A sample of 1500 computer chips revealed that $44 \%$ of the chips fail in the first 1000 hours of their use. The company's promotional literature claimed that $47 \%$ fail in the first 1000 hours of their use. Is there sufficient evidence at the 0.02 level to dispute the company's claim? State the null and alternative hypotheses for the above scenario. Answer
Solution
Step 1 ：State the null and alternative hypotheses for the above scenario.
Step 2 ：The null hypothesis (H0) is that 47% of the chips fail in the first 1000 hours of their use.
Step 3 ：The alternative hypothesis (H1) is that less than 47% of the chips fail in the first 1000 hours of their use.
