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The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject Ho when the level of significance is (a) a= 0.01, (b) a= 0.05, and (c) a=0.10. P=0.1147 .... (a) Do you reject or fail to reject Ho at the 0.01 level of significance? O A. Fail to reject Ho because the P-value, 0.1147, is greater than a = 0.01. O B. Reject Ho because the P-value, 0.1147, is greater than a = 0.01. OC. Reject Ho because the P-value, 0.1147, is less than a = 0.01. OD. Fail to reject Ho because the P-value, 0.1147, is less than a = 0.01.

The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject Ho when the level of significance is (a) a= 0.01, (b) a= 0.05, and (c) a=0.10. P=0.1147 .... (a) Do you reject or fail to reject Ho at the 0.01 level of significance? O A. Fail to reject Ho because the P-value, 0.1147, is greater than a = 0.01. O B. Reject Ho because the P-value, 0.1147, is greater than a = 0.01. OC. Reject Ho because the P-value, 0.1147, is less than a = 0.01. OD. Fail to reject Ho because the P-value, 0.1147, is less than a = 0.01.

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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Answer A, B, and C questions 

**Interpreting P-Values and Hypothesis Testing** In hypothesis testing, the P-value is a crucial metric used to decide whether to reject the null hypothesis (\( H_0 \)). The significance level (\( \alpha \)) is the threshold against which the P-value is compared. The P-value determined from a given test is \( P = 0.1147 \). Consider the following levels of significance: - (a) \( \alpha = 0.01 \) - (b) \( \alpha = 0.05 \) - (c) \( \alpha = 0.10 \) ### Question: (a) Do you reject or fail to reject \( H_0 \) at the 0.01 level of significance? #### Options: - **A.** Fail to reject \( H_0 \) because the P-value, 0.1147, is greater than \( \alpha = 0.01 \). - **B.** Reject \( H_0 \) because the P-value, 0.1147, is greater than \( \alpha = 0.01 \). - **C.** Reject \( H_0 \) because the P-value, 0.1147, is less than \( \alpha = 0.01 \). - **D.** Fail to reject \( H_0 \) because the P-value, 0.1147, is less than \( \alpha = 0.01 \). **Explanation:** To determine whether to reject \( H_0 \) at \( \alpha = 0.01 \), compare the P-value to \( \alpha \): Since \( 0.1147 > 0.01 \), we fail to reject \( H_0 \). **Correct Answer: A.** Fail to reject \( H_0 \) because the P-value, 0.1147, is greater than \( \alpha = 0.01 \).
Transcribed Image Text:**Interpreting P-Values and Hypothesis Testing** In hypothesis testing, the P-value is a crucial metric used to decide whether to reject the null hypothesis (\( H_0 \)). The significance level (\( \alpha \)) is the threshold against which the P-value is compared. The P-value determined from a given test is \( P = 0.1147 \). Consider the following levels of significance: - (a) \( \alpha = 0.01 \) - (b) \( \alpha = 0.05 \) - (c) \( \alpha = 0.10 \) ### Question: (a) Do you reject or fail to reject \( H_0 \) at the 0.01 level of significance? #### Options: - **A.** Fail to reject \( H_0 \) because the P-value, 0.1147, is greater than \( \alpha = 0.01 \). - **B.** Reject \( H_0 \) because the P-value, 0.1147, is greater than \( \alpha = 0.01 \). - **C.** Reject \( H_0 \) because the P-value, 0.1147, is less than \( \alpha = 0.01 \). - **D.** Fail to reject \( H_0 \) because the P-value, 0.1147, is less than \( \alpha = 0.01 \). **Explanation:** To determine whether to reject \( H_0 \) at \( \alpha = 0.01 \), compare the P-value to \( \alpha \): Since \( 0.1147 > 0.01 \), we fail to reject \( H_0 \). **Correct Answer: A.** Fail to reject \( H_0 \) because the P-value, 0.1147, is greater than \( \alpha = 0.01 \).
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