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Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Ho:p=0.4 versus H,: p>0.4 n= 250; x = 105, a = 0.01 ..... Is npo (1- Po) 2 10 2 10? Yes No

Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Ho:p=0.4 versus H,: p>0.4 n= 250; x = 105, a = 0.01 ..... Is npo (1- Po) 2 10 2 10? Yes No

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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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. ---
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. ---
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