MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
Bartleby Related Questions Icon

Related questions

Question

Question 4

Transcription for Educational Website:

---

**Testing Hypotheses Using the P-Value Approach**

Be sure to verify the requirements of the test.

**Hypotheses:**

- Null Hypothesis (H₀): \( p = 0.4 \) 
- Alternative Hypothesis (H₁): \( p > 0.4 \) 

**Details:**

- Sample size (n): 250
- Number of successes (x): 105
- Significance level (α): 0.01

**Verification Requirement:**

Is \( n p_0 (1 - p_0) \geq 10 \) ?

- Options:
  - ○ Yes
  - ● No

**Explanation:**
The question asks if the sample size and null hypothesis proportion are sufficient for the standard assumptions of a normal approximation to the binomial distribution. 

Here, \( p_0 = 0.4 \). Calculation needed for verification:
- \( n p_0 = 250 \times 0.4 = 100 \)
- \( n (1 - p_0) = 250 \times 0.6 = 150 \)
- Check if \( 100 \times 0.6 \geq 10 \)

The answer, "No," is selected, indicating that the requirement does not hold.

---
expand button
Transcribed Image Text:Transcription for Educational Website: --- **Testing Hypotheses Using the P-Value Approach** Be sure to verify the requirements of the test. **Hypotheses:** - Null Hypothesis (H₀): \( p = 0.4 \) - Alternative Hypothesis (H₁): \( p > 0.4 \) **Details:** - Sample size (n): 250 - Number of successes (x): 105 - Significance level (α): 0.01 **Verification Requirement:** Is \( n p_0 (1 - p_0) \geq 10 \) ? - Options: - ○ Yes - ● No **Explanation:** The question asks if the sample size and null hypothesis proportion are sufficient for the standard assumptions of a normal approximation to the binomial distribution. Here, \( p_0 = 0.4 \). Calculation needed for verification: - \( n p_0 = 250 \times 0.4 = 100 \) - \( n (1 - p_0) = 250 \times 0.6 = 150 \) - Check if \( 100 \times 0.6 \geq 10 \) The answer, "No," is selected, indicating that the requirement does not hold. ---
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Text book image
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Text book image
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
Text book image
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Text book image
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman