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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=0.1155

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=0.1155

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Answer all part A B and C
The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject \( H_0 \) when the level of significance is (a) \( \alpha = 0.01 \), (b) \( \alpha = 0.05 \), and (c) \( \alpha = 0.10 \). - \( P = 0.1155 \) (b) Do you reject or fail to reject \( H_0 \) at the 0.05 level of significance? - A. Reject \( H_0 \) because the P-value, 0.1155, is greater than \( \alpha = 0.05 \). - B. Reject \( H_0 \) because the P-value, 0.1155, is less than \( \alpha = 0.05 \). - C. Fail to reject \( H_0 \) because the P-value, 0.1155, is greater than \( \alpha = 0.05 \). - D. **Fail to reject \( H_0 \) because the P-value, 0.1155, is less than \( \alpha = 0.05 \).** (c) Do you reject or fail to reject \( H_0 \) at the 0.10 level of significance? - A. Fail to reject \( H_0 \) because the P-value, 0.1155, is greater than \( \alpha = 0.10 \). - B. Reject \( H_0 \) because the P-value, 0.1155, is greater than \( \alpha = 0.10 \). - C. Reject \( H_0 \) because the P-value, 0.1155, is less than \( \alpha = 0.10 \). - D. **Fail to reject \( H_0 \) because the P-value, 0.1155, is less than \( \alpha = 0.10 \).** Selected options are marked in bold.
Transcribed Image Text:The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject \( H_0 \) when the level of significance is (a) \( \alpha = 0.01 \), (b) \( \alpha = 0.05 \), and (c) \( \alpha = 0.10 \). - \( P = 0.1155 \) (b) Do you reject or fail to reject \( H_0 \) at the 0.05 level of significance? - A. Reject \( H_0 \) because the P-value, 0.1155, is greater than \( \alpha = 0.05 \). - B. Reject \( H_0 \) because the P-value, 0.1155, is less than \( \alpha = 0.05 \). - C. Fail to reject \( H_0 \) because the P-value, 0.1155, is greater than \( \alpha = 0.05 \). - D. **Fail to reject \( H_0 \) because the P-value, 0.1155, is less than \( \alpha = 0.05 \).** (c) Do you reject or fail to reject \( H_0 \) at the 0.10 level of significance? - A. Fail to reject \( H_0 \) because the P-value, 0.1155, is greater than \( \alpha = 0.10 \). - B. Reject \( H_0 \) because the P-value, 0.1155, is greater than \( \alpha = 0.10 \). - C. Reject \( H_0 \) because the P-value, 0.1155, is less than \( \alpha = 0.10 \). - D. **Fail to reject \( H_0 \) because the P-value, 0.1155, is less than \( \alpha = 0.10 \).** Selected options are marked in bold.
The image presents a question related to hypothesis testing and decision making based on p-values at various levels of significance. The main task is to decide whether to reject the null hypothesis \( H_0 \) given: - A p-value of 0.1155. - Three levels of significance: \( \alpha = 0.01 \), \( \alpha = 0.05 \), and \( \alpha = 0.10 \). (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, 0.1155, is less than \( \alpha = 0.01 \). - B. Reject \( H_0 \) because the P-value, 0.1155, is less than \( \alpha = 0.01 \). - C. Fail to reject \( H_0 \) because the P-value, 0.1155, is greater than \( \alpha = 0.01 \). - D. Reject \( H_0 \) because the P-value, 0.1155, is greater than \( \alpha = 0.01 \). Correct Response: C (b) Do you reject or fail to reject \( H_0 \) at the 0.05 level of significance? Options: - A. Reject \( H_0 \) because the P-value, 0.1155, is greater than \( \alpha = 0.05 \). - B. Reject \( H_0 \) because the P-value, 0.1155, is less than \( \alpha = 0.05 \). - C. Fail to reject \( H_0 \) because the P-value, 0.1155, is greater than \( \alpha = 0.05 \). - D. Fail to reject \( H_0 \) because the P-value, 0.1155, is less than \( \alpha = 0.05 \). Correct Response: C
Transcribed Image Text:The image presents a question related to hypothesis testing and decision making based on p-values at various levels of significance. The main task is to decide whether to reject the null hypothesis \( H_0 \) given: - A p-value of 0.1155. - Three levels of significance: \( \alpha = 0.01 \), \( \alpha = 0.05 \), and \( \alpha = 0.10 \). (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, 0.1155, is less than \( \alpha = 0.01 \). - B. Reject \( H_0 \) because the P-value, 0.1155, is less than \( \alpha = 0.01 \). - C. Fail to reject \( H_0 \) because the P-value, 0.1155, is greater than \( \alpha = 0.01 \). - D. Reject \( H_0 \) because the P-value, 0.1155, is greater than \( \alpha = 0.01 \). Correct Response: C (b) Do you reject or fail to reject \( H_0 \) at the 0.05 level of significance? Options: - A. Reject \( H_0 \) because the P-value, 0.1155, is greater than \( \alpha = 0.05 \). - B. Reject \( H_0 \) because the P-value, 0.1155, is less than \( \alpha = 0.05 \). - C. Fail to reject \( H_0 \) because the P-value, 0.1155, is greater than \( \alpha = 0.05 \). - D. Fail to reject \( H_0 \) because the P-value, 0.1155, is less than \( \alpha = 0.05 \). Correct Response: C
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