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# Hypothesis Testing and P-Values The P-value for a hypothesis test is given as 0.0471. Use this P-value to decide whether to reject the null hypothesis \( H_0 \) when the level of significance is: - (a) \( \alpha = 0.01 \) - (b) \( \alpha = 0.05 \) - (c) \( \alpha = 0.10 \) ## (a) \( \alpha = 0.01 \) **Do you reject or fail to reject \( H_0 \) at the 0.01 level of significance?** - A. Reject \( H_0 \) because the P-value, 0.0471, is greater than \( \alpha = 0.01 \). - B. Reject \( H_0 \) because the P-value, 0.0471, is less than \( \alpha = 0.01 \). - C. Fail to reject \( H_0 \) because the P-value, 0.0471, is greater than \( \alpha = 0.01 \). - D. Fail to reject \( H_0 \) because the P-value, 0.0471, is less than \( \alpha = 0.01 \). ## (b) \( \alpha = 0.05 \) **Do you reject or fail to reject \( H_0 \) at the 0.05 level of significance?** - A. Reject \( H_0 \) because the P-value, 0.0471, is less than \( \alpha = 0.05 \). - B. Fail to reject \( H_0 \) because the P-value, 0.0471, is greater than \( \alpha = 0.05 \). - C. Fail to reject \( H_0 \) because the P-value, 0.0471, is less than \( \alpha = 0.05 \). - D. Reject \( H_0 \) because the P-value, 0.0471, is greater than \( \alpha = 0.05 \). ## (c) \( \alpha = 0.10 \) **Do you reject or fail to reject \( H_0 \) at the 0.10 level of significance?** - A. Fail to reject \( H_0 \

# Hypothesis Testing and P-Values The P-value for a hypothesis test is given as 0.0471. Use this P-value to decide whether to reject the null hypothesis \( H_0 \) when the level of significance is: - (a) \( \alpha = 0.01 \) - (b) \( \alpha = 0.05 \) - (c) \( \alpha = 0.10 \) ## (a) \( \alpha = 0.01 \) **Do you reject or fail to reject \( H_0 \) at the 0.01 level of significance?** - A. Reject \( H_0 \) because the P-value, 0.0471, is greater than \( \alpha = 0.01 \). - B. Reject \( H_0 \) because the P-value, 0.0471, is less than \( \alpha = 0.01 \). - C. Fail to reject \( H_0 \) because the P-value, 0.0471, is greater than \( \alpha = 0.01 \). - D. Fail to reject \( H_0 \) because the P-value, 0.0471, is less than \( \alpha = 0.01 \). ## (b) \( \alpha = 0.05 \) **Do you reject or fail to reject \( H_0 \) at the 0.05 level of significance?** - A. Reject \( H_0 \) because the P-value, 0.0471, is less than \( \alpha = 0.05 \). - B. Fail to reject \( H_0 \) because the P-value, 0.0471, is greater than \( \alpha = 0.05 \). - C. Fail to reject \( H_0 \) because the P-value, 0.0471, is less than \( \alpha = 0.05 \). - D. Reject \( H_0 \) because the P-value, 0.0471, is greater than \( \alpha = 0.05 \). ## (c) \( \alpha = 0.10 \) **Do you reject or fail to reject \( H_0 \) at the 0.10 level of significance?** - A. Fail to reject \( H_0 \

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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# Hypothesis Testing and P-Values The P-value for a hypothesis test is given as 0.0471. Use this P-value to decide whether to reject the null hypothesis \( H_0 \) when the level of significance is: - (a) \( \alpha = 0.01 \) - (b) \( \alpha = 0.05 \) - (c) \( \alpha = 0.10 \) ## (a) \( \alpha = 0.01 \) **Do you reject or fail to reject \( H_0 \) at the 0.01 level of significance?** - A. Reject \( H_0 \) because the P-value, 0.0471, is greater than \( \alpha = 0.01 \). - B. Reject \( H_0 \) because the P-value, 0.0471, is less than \( \alpha = 0.01 \). - C. Fail to reject \( H_0 \) because the P-value, 0.0471, is greater than \( \alpha = 0.01 \). - D. Fail to reject \( H_0 \) because the P-value, 0.0471, is less than \( \alpha = 0.01 \). ## (b) \( \alpha = 0.05 \) **Do you reject or fail to reject \( H_0 \) at the 0.05 level of significance?** - A. Reject \( H_0 \) because the P-value, 0.0471, is less than \( \alpha = 0.05 \). - B. Fail to reject \( H_0 \) because the P-value, 0.0471, is greater than \( \alpha = 0.05 \). - C. Fail to reject \( H_0 \) because the P-value, 0.0471, is less than \( \alpha = 0.05 \). - D. Reject \( H_0 \) because the P-value, 0.0471, is greater than \( \alpha = 0.05 \). ## (c) \( \alpha = 0.10 \) **Do you reject or fail to reject \( H_0 \) at the 0.10 level of significance?** - A. Fail to reject \( H_0 \
Transcribed Image Text:# Hypothesis Testing and P-Values The P-value for a hypothesis test is given as 0.0471. Use this P-value to decide whether to reject the null hypothesis \( H_0 \) when the level of significance is: - (a) \( \alpha = 0.01 \) - (b) \( \alpha = 0.05 \) - (c) \( \alpha = 0.10 \) ## (a) \( \alpha = 0.01 \) **Do you reject or fail to reject \( H_0 \) at the 0.01 level of significance?** - A. Reject \( H_0 \) because the P-value, 0.0471, is greater than \( \alpha = 0.01 \). - B. Reject \( H_0 \) because the P-value, 0.0471, is less than \( \alpha = 0.01 \). - C. Fail to reject \( H_0 \) because the P-value, 0.0471, is greater than \( \alpha = 0.01 \). - D. Fail to reject \( H_0 \) because the P-value, 0.0471, is less than \( \alpha = 0.01 \). ## (b) \( \alpha = 0.05 \) **Do you reject or fail to reject \( H_0 \) at the 0.05 level of significance?** - A. Reject \( H_0 \) because the P-value, 0.0471, is less than \( \alpha = 0.05 \). - B. Fail to reject \( H_0 \) because the P-value, 0.0471, is greater than \( \alpha = 0.05 \). - C. Fail to reject \( H_0 \) because the P-value, 0.0471, is less than \( \alpha = 0.05 \). - D. Reject \( H_0 \) because the P-value, 0.0471, is greater than \( \alpha = 0.05 \). ## (c) \( \alpha = 0.10 \) **Do you reject or fail to reject \( H_0 \) at the 0.10 level of significance?** - A. Fail to reject \( H_0 \
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