Chapter 6.12, Problem 5E

A vendor claims that no more than 10% of the parts she supplies are defective. Let p denote the actual proportion of parts that are defective. A test is made of the hypotheses H₀: p ≤ 0.10 versus H₁: p > 0.10. For each of the following situations, determine whether the decision was correct, a type I error occurred, or a type II error occurred.

1. a. The claim is true, and H₀ is rejected.
2. b. The claim is false, and H₀ is rejected.
3. c. The claim is true, and H₀ is not rejected.
4. d. The claim is false, and H₀ is not rejected.