Question

A sample of 900900 computer chips revealed that 58X% of the chips fail in the first 10001000 hours of their use. The company's promotional literature states that 54T% of the chips fail in the first 10001000 hours of their use. The quality control manager wants to test the claim that the actual percentage that fail is different from the stated percentage. State the null and alternative hypotheses.

Answer 1

Null Hypothesis,
`H_0` : p = 0.54

Alternate Hypothesis,
`H_1` : p
`\\eq` 0.54

Explanation:

We are given that the company's promotional literature states that 54% of the chips fail in the first 1000 hours of their use. Also, a sample of 900 computer chips revealed that 58% of the chips fail in the first 1000 hours of their use.

And the quality control manager wants to test the claim that the actual percentage that fail is different from the stated percentage, i.e;

Null Hypothesis,
`H_0` : p = 0.54 {means that the actual percentage that fail is same as the stated percentage}

Alternate Hypothesis,
`H_1` : p
`\\eq` 0.54 {means that the actual percentage that fail is different from the stated percentage}