Question

A sample of 900 computer chips revealed that 49% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature states that 48% of the chips do not fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that do not fail is over the stated percentage. Is there enough evidence at the 0.10 level to support the manager's claim?

Step 1 of 7: State the null and alternative hypotheses.

Step 2 of 7:

Find the value of the test statistic. Round your answer to two decimal places.

Step 4 of 7:

Determine the P-value of the test statistic. Round your answer to four decimal places.

Step 5 of 7:

Identify the value of the level of significance.

Step 6 of 7:

Make the decision to reject or fail to reject the null hypothesis.

Step 7 of 7:

State the conclusion of the hypothesis test.

Answer 1

The statistical software output for this problem is:

From above output:

1) Hypotheses:

Ho: p = 0.48

Ha: p 0.48

2) Test statistic = 0.60

4) P - value = 0.5482

5) Level of significance = 0.10

6) Fail to Reject Null Hypothesis

7) There is not sufficient evidence