Question

a sample of 900 computer chips revealed that 53% of the chips fail in the first 1000 hours of their use. the companys promotional literature claimed that less than 57% fail 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.

answer
\\(h_0:\\)
\\(h_a:\\)

Explanation:

Identify the parameter of interest

$$ p = \text{the true proportion of computer chips that fail in the first 1000 hours of use} $$

Formulate the null hypothesis

$$ H_0: p = 0.57 $$

Formulate the alternative hypothesis

$$ H_a: p < 0.57 $$

Answer:

State the null and alternative hypotheses for the above scenario.

\(H_0:\) <blank>\(p = 0.57\)</blank>

\(H_a:\) <blank>\(p < 0.57\)</blank>