A sample of 1300 computer chips revealed that 39% of the chips fail in the first 1000 hours of their use. The company's promotional literature states that 41% of the chips fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that fail is less than the stated percentage. Is there enough evidence at the 0.01 level to support the manager's claim?

1)State the null and alternative hypotheses.

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

3)Specify if the test is one-tailed or two-tailed.

4)Determine the decision rule for rejecting the null hypothesis, H0H0.

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

6)State the conclusion of the hypothesis test.