A sample of 1500 computer chips revealed that 41% of the chips fail in the first 1000 hours of their use. The company's promotional literature claimed that less than 44% fail in the first 1000 hours of their use. Is there sufficient evidence at the 0.02 level to support the company's claim?

Question

Mathematics

Tickles

11 September, 01:15

A sample of 1500 computer chips revealed that 41% of the chips fail in the first 1000 hours of their use. The company's promotional literature claimed that less than 44% fail in the first 1000 hours of their use. Is there sufficient evidence at the 0.02 level to support the company's claim?

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Alyssa Sanford · Answer 1

Yes, there will be sufficient evidence at the 0.02 level to support the company's claim

Step-by-step explanation:

Firstly we need to state the null and alternative hypothesis for the above question

We also need to test whether the proportion of chips that fails before 1000 hours is under 0.44. Hence, our hypotheses will be:

H o: p = 0.48

H a: p > 0.48

Where P represent the proportion of Chips.