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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=0.1021 ..... (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, 0.1021, is greater than a=0.01. O B. Reject Ho because the P-value, 0.1021, is less than a=0.01. O C. Reject Ho because the P-value, 0.1021, is greater than a=0.01. O D. Fail to reject H, because the P-value, 0.1021, 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=0.1021 ..... (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, 0.1021, is greater than a=0.01. O B. Reject Ho because the P-value, 0.1021, is less than a=0.01. O C. Reject Ho because the P-value, 0.1021, is greater than a=0.01. O D. Fail to reject H, because the P-value, 0.1021, is less than a = 0.01.

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 these questions. A, B and C questions
The image displays a question related to hypothesis testing in statistics: --- 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 = 0.1021** (a) Do you reject or fail to reject \( H_0 \) at the 0.01 level of significance? - **A. Fail to reject \( H_0 \) because the P-value, 0.1021, is greater than \(\alpha = 0.01\).** - **B. Reject \( H_0 \) because the P-value, 0.1021, is less than \(\alpha = 0.01\).** - **C. Reject \( H_0 \) because the P-value, 0.1021, is greater than \(\alpha = 0.01\).** - **D. Fail to reject \( H_0 \) because the P-value, 0.1021, is less than \(\alpha = 0.01\).** --- This question is asking about decision making in hypothesis testing. **Explanation:** - **P-value:** This is the probability of observing the test statistic or something more extreme, under the null hypothesis \( H_0 \). - **\(\alpha\) (Level of Significance):** This is the threshold for decision making. If the P-value is less than or equal to \(\alpha\), you reject \( H_0 \); otherwise, you fail to reject \( H_0 \). In this scenario, option A is correct because the P-value (0.1021) is greater than the significance level (\(\alpha = 0.01\)), leading us to fail to reject the null hypothesis (\( H_0 \)).
Transcribed Image Text:The image displays a question related to hypothesis testing in statistics: --- 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 = 0.1021** (a) Do you reject or fail to reject \( H_0 \) at the 0.01 level of significance? - **A. Fail to reject \( H_0 \) because the P-value, 0.1021, is greater than \(\alpha = 0.01\).** - **B. Reject \( H_0 \) because the P-value, 0.1021, is less than \(\alpha = 0.01\).** - **C. Reject \( H_0 \) because the P-value, 0.1021, is greater than \(\alpha = 0.01\).** - **D. Fail to reject \( H_0 \) because the P-value, 0.1021, is less than \(\alpha = 0.01\).** --- This question is asking about decision making in hypothesis testing. **Explanation:** - **P-value:** This is the probability of observing the test statistic or something more extreme, under the null hypothesis \( H_0 \). - **\(\alpha\) (Level of Significance):** This is the threshold for decision making. If the P-value is less than or equal to \(\alpha\), you reject \( H_0 \); otherwise, you fail to reject \( H_0 \). In this scenario, option A is correct because the P-value (0.1021) is greater than the significance level (\(\alpha = 0.01\)), leading us to fail to reject the null hypothesis (\( H_0 \)).
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