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MATLAB: An Introduction with Applications

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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### Understanding Type II Errors and Hypothesis Testing

**Question 1: Understanding Type II Errors**

A Type II error is committed if we make:
- **A.** A correct decision when the null hypothesis is true
- **B.** A correct decision when the null hypothesis is false
- **C.** An incorrect decision when the null hypothesis is false
- **D.** An incorrect decision when the null hypothesis is true

*Correct Answer: [C] An incorrect decision when the null hypothesis is false*
*A Type II error occurs when we fail to reject a false null hypothesis.*

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**Question 2: Hypothesis Testing at Various Significance Levels**

If a hypothesis is not rejected at the 0.10 level of significance, it:
- **A.** Must be rejected at the 0.05 level
- **B.** Must be rejected at the 0.025 level
- **C.** Will not be rejected at the 0.05 level
- **D.** Will not be rejected at the 0.20 level

*Correct Answer: [C] Will not be rejected at the 0.05 level*
*If a hypothesis is not rejected at a higher significance level (e.g., 0.10), it will also not be rejected at a lower (more stringent) level like 0.05.*

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