(12) Suppose a new drug is being tested which could potentially cure a rare form of deadly can- cer. The downside is that the drug has several severe side effects, including seizures. If a hypothesis test shows enough evidence that the drug cures cancer, then it will be prescribed and distributed to thousands of cancer patients worldwide. (a) Describe the consequence of a Type I error in this situation. (b) Describe the consequence of a Type II error in this situation.
(12) Suppose a new drug is being tested which could potentially cure a rare form of deadly can- cer. The downside is that the drug has several severe side effects, including seizures. If a hypothesis test shows enough evidence that the drug cures cancer, then it will be prescribed and distributed to thousands of cancer patients worldwide. (a) Describe the consequence of a Type I error in this situation. (b) Describe the consequence of a Type II error in this situation.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:**Hypothesis Testing Errors in Drug Testing**
**Context:**
Suppose a new drug is being tested which could potentially cure a rare form of deadly cancer. The downside is that the drug has several severe side effects, including seizures. If a hypothesis test shows enough evidence that the drug cures cancer, then it will be prescribed and distributed to thousands of cancer patients worldwide.
**Questions:**
1. **Type I Error:**
- **Explanation:** A Type I error occurs when a true null hypothesis is rejected.
- **Consequence in this Situation:** Describe the consequence of a Type I error in this situation.
2. **Type II Error:**
- **Explanation:** A Type II error occurs when a false null hypothesis is not rejected.
- **Consequence in this Situation:** Describe the consequence of a Type II error in this situation.
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