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.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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10.22

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: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.
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.
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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