Suppose the general manager for a company that produces a complicated electronics component used in the navigation systems in automobiles has stated that 64% of the items made pass through the final inspection without needing any rework. The quality manager wished to verify this statement. To do so, she selected a random sample of n=140 parts at the final inspection station and found that 76 passed and did not require rework.

a. State the appropriate null and alternative hypotheses for testing the general manager's claim.

b. Using alpha equals 0.10, from the sample data, what conclusion should the quality manager reach about the general manager's claim? Discuss.

a. Identify the null and alternative hypotheses for this test. Let p be the population proportion of items made that pass through the final inspection without needing any rework.

A.Upper H 0: p less than or equals 0.64

Upper H Subscript Upper A: p greater than 0.64

B.Upper H 0: p equals 0.64

Upper H Subscript Upper A: p not equals 0.64

C.Upper H 0: p not equals 0.64

Upper H Subscript Upper A: p equals 0.64

D. Upper H 0: p greater than or equals 0.64

Upper H Subscript Upper A: p less than 0.64

b. Perform the test using a normal approximation. Identify the test statistic.

___________ (Round to two decimal places as needed.)

Identify the p-value.

__________(Round to three decimal places as needed.)

State the conclusion for this hypothesis test.

Reject / Do Not Reject H0. There Is / Is Not sufficient evidence at the alpha=0.10 level of significance to conclude that the population proportion of items made that pass through the final inspection without needing any rework is (less than 0.64. OR not equal to 0.64. OR greater than 0.64.)

Therefore, the sample data supports / do not support the general manager's claim.