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=0.10 P =0.0308 ...... (a) Do you reject or fail to reject Ho at the 0.01 level of significance? O A. Reject H, because the P-value, 0.0308, is greater than a =0.01. O B. Fail to reject Ho because the P-value, 0.0308, is less than a= 0.01. O C. Reject H, because the P-value, 0.0308, is less than a = 0.01. O D. Fail to reject Ho because the P-value, 0.0308, is greater than a= 0.01. (b) Do you reject or fail to reject Ho at the 0.05 level of significance? O A. Reject H, because the P-value, 0.0308, is less than a = 0.05. O B. Fail to reject Ho because the P-value, 0.0308, is less than a= 0.05. OC. Fail to reject H, because the P-value, 0.0308, is greater than a = 0.05. O D. Reject Ho because the P-value, 0.0308, is greater than a = 0.05. 11:59pm e to search
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=0.10 P =0.0308 ...... (a) Do you reject or fail to reject Ho at the 0.01 level of significance? O A. Reject H, because the P-value, 0.0308, is greater than a =0.01. O B. Fail to reject Ho because the P-value, 0.0308, is less than a= 0.01. O C. Reject H, because the P-value, 0.0308, is less than a = 0.01. O D. Fail to reject Ho because the P-value, 0.0308, is greater than a= 0.01. (b) Do you reject or fail to reject Ho at the 0.05 level of significance? O A. Reject H, because the P-value, 0.0308, is less than a = 0.05. O B. Fail to reject Ho because the P-value, 0.0308, is less than a= 0.05. OC. Fail to reject H, because the P-value, 0.0308, is greater than a = 0.05. O D. Reject Ho because the P-value, 0.0308, is greater than a = 0.05. 11:59pm e to search
Transcribed Image Text:**P-Value for Hypothesis Testing**
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 = 0.0308**
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**(a) Do you reject or fail to reject \( H_0 \) at the 0.01 level of significance?**
- **A.** Reject \( H_0 \) because the P-value, 0.0308, is greater than \( \alpha = 0.01 \).
- **B.** Fail to reject \( H_0 \) because the P-value, 0.0308, is less than \( \alpha = 0.01 \).
- **C.** Reject \( H_0 \) because the P-value, 0.0308, is less than \( \alpha = 0.01 \).
- **D.** Fail to reject \( H_0 \) because the P-value, 0.0308, is greater than \( \alpha = 0.01 \).
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**(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, 0.0308, is less than \( \alpha = 0.05 \).
- **B.** Fail to reject \( H_0 \) because the P-value, 0.0308, is less than \( \alpha = 0.05 \).
- **C.** Fail to reject \( H_0 \) because the P-value, 0.0308, is greater than \( \alpha = 0.05 \).
- **D.** Reject \( H_0 \) because the P-value, 0.0308, is greater than \( \alpha = 0.05 \).
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Transcribed Image Text:The image contains a prompt related to hypothesis testing, specifically involving decisions based on P-values and significance levels:
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**P-value for a Hypothesis Test:**
Use the P-value to decide whether to reject \( H_0 \) (the null hypothesis) when the level of significance is:
- (a) \( \alpha = 0.01 \)
- (b) \( \alpha = 0.05 \)
- (c) \( \alpha = 0.10 \)
**Given:**
\[ P = 0.0308 \]
**Options for decision making:**
1. **For \( \alpha = 0.05 \):**
- **A.** Reject \( H_0 \) because the P-value, 0.0308, is less than \( \alpha = 0.05 \).
- **B.** Fail to reject \( H_0 \) because the P-value, 0.0308, is less than \( \alpha = 0.05 \).
- **C.** Fail to reject \( H_0 \) because the P-value, 0.0308, is greater than \( \alpha = 0.05 \).
- **D.** Reject \( H_0 \) because the P-value, 0.0308, is greater than \( \alpha = 0.05 \).
2. **For \( \alpha = 0.10 \):**
- **A.** Reject \( H_0 \) because the P-value, 0.0308, is less than \( \alpha = 0.10 \).
- **B.** Fail to reject \( H_0 \) because the P-value, 0.0308, is less than \( \alpha = 0.10 \).
- **C.** Fail to reject \( H_0 \) because the P-value, 0.0308, is greater than \( \alpha = 0.10 \).
- **D.** Reject \( H_0 \) because the P-value, 0.0308, is greater than \( \alpha = 0.10 \).
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There are no graphs or diagrams present in the image.
Expert Solution
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Introduction
We have to decide if we reject H0 or not for given level of confidence and p value.
![The image contains a prompt related to hypothesis testing, specifically involving decisions based on P-values and significance levels:
---
**P-value for a Hypothesis Test:**
Use the P-value to decide whether to reject \( H_0 \) (the null hypothesis) when the level of significance is:
- (a) \( \alpha = 0.01 \)
- (b) \( \alpha = 0.05 \)
- (c) \( \alpha = 0.10 \)
**Given:**
\[ P = 0.0308 \]
**Options for decision making:**
1. **For \( \alpha = 0.05 \):**
- **A.** Reject \( H_0 \) because the P-value, 0.0308, is less than \( \alpha = 0.05 \).
- **B.** Fail to reject \( H_0 \) because the P-value, 0.0308, is less than \( \alpha = 0.05 \).
- **C.** Fail to reject \( H_0 \) because the P-value, 0.0308, is greater than \( \alpha = 0.05 \).
- **D.** Reject \( H_0 \) because the P-value, 0.0308, is greater than \( \alpha = 0.05 \).
2. **For \( \alpha = 0.10 \):**
- **A.** Reject \( H_0 \) because the P-value, 0.0308, is less than \( \alpha = 0.10 \).
- **B.** Fail to reject \( H_0 \) because the P-value, 0.0308, is less than \( \alpha = 0.10 \).
- **C.** Fail to reject \( H_0 \) because the P-value, 0.0308, is greater than \( \alpha = 0.10 \).
- **D.** Reject \( H_0 \) because the P-value, 0.0308, is greater than \( \alpha = 0.10 \).
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There are no graphs or diagrams present in the image.](https://content.bartleby.com/qna-images/question/5a560b6e-7efb-42a9-961d-4ddfe6ff112f/dea53497-2208-4d1d-a584-bcf41e4198c2/4sv34nc_processed.jpeg)
