10.22 An automobile manufacturer is considering using robots for part of its assembly process. Converting to robots is an expensive process, so it will be undertak- en only if there is strong evidence that the proportion of defective installations is lower for the robots than for human assemblers. Let p denote the proportion of defective installations for the robots. It is known that human assemblers have a defect proportion of .02.
10.22 An automobile manufacturer is considering using robots for part of its assembly process. Converting to robots is an expensive process, so it will be undertak- en only if there is strong evidence that the proportion of defective installations is lower for the robots than for human assemblers. Let p denote the proportion of defective installations for the robots. It is known that human assemblers have a defect proportion of .02.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
Related questions
Question
10.22
Transcribed Image Text:a. Which of the following pairs of hypotheses should
the manufacturer test:
or
Ho: p = .02 versus Ha: p<.02
Ho: p = .02 versus Ha: p>.02
Explain your answer.
b. In the context of this exercise, describe Type I and
Type II errors.
c. Would you prefer a test with a = .01 or a = .1?
Explain your reasoning.
Transcribed Image Text:10.22 An automobile manufacturer is considering using
robots for part of its assembly process. Converting to
robots is an expensive process, so it will be undertak-
en only if there is strong evidence that the proportion
of defective installations is lower for the robots than
for human assemblers. Let p denote the proportion of
defective installations for the robots. It is known that
human assemblers have a defect proportion of .02.
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