Concept explainers
A television manufacturer claims that (at least) 90% of its TV sets will not need service during the first 3 years of operation. A consumer agency wishes to check this claim, so it obtains a random sample of n = 100 purchasers and asks each whether the set purchased needed repair during the first 3 years after purchase. Let
The agency does not want to claim false advertising unless sample evidence strongly suggests that p < 0.9. The appropriate hypotheses arc then H0: p = 0.9 versus Ha: p < 0.9.
- a. In the context of this problem, describe Type I and Type II errors, and discuss the possible consequences of each.
- b. Would you recommend a test procedure that uses α = 0.10 or one that uses α = 0.01? Explain.
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Chapter 10 Solutions
Introduction to Statistics and Data Analysis
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