A machine in a factory must be repaired if it produces more than 10% defectives in a day.  A random sample of 100 produced items contains 15 defectives, and the supervisor says that the machine must be repaired. Given the aforementioned information and the hypotheses H0: p ≤ 0.1 and H1: p > 0.1, does the sample support the supervisor's decision at the 0.01 significance level?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A machine in a factory must be repaired if it produces more than 10% defectives in a day.  A random sample of 100 produced items contains 15 defectives, and the supervisor says that the machine must be repaired.

Given the aforementioned information and the hypotheses H0: p ≤ 0.1 and H1: p > 0.1, does the sample support the supervisor's decision at the 0.01 significance level?

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