Suppose the general manager for a company that produces a complicated electronics component used in the navigation systems in automobiles has stated that 67​% 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=210 parts at the final inspection station and found that 127passed and did not require rework. a. State the appropriate null and alternative hypotheses for testing the general​ manager's claim. b. Using α=0.10​, from the sample​ data, what conclusion should the quality manager reach about the general​ manager's claim? Discuss. b. Perform the test using a normal approximation. Identify the test statistic. ​(Round to two decimal places as​ needed.)

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Suppose the general manager for a company that produces a complicated electronics component used in the navigation systems in automobiles has stated that 67​% 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=210 parts at the final inspection station and found that 127passed and did not require rework.
a. State the appropriate null and alternative hypotheses for testing the general​ manager's claim.
b. Using α=0.10​, from the sample​ data, what conclusion should the quality manager reach about the general​ manager's claim? Discuss.
b. Perform the test using a normal approximation. Identify the test statistic.
​(Round to two decimal places as​ needed.)
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