The P-value for a hypothesis test s shown. Use the P-value to decide whether to reject Ho when the level of significance is (a) α = 0.01, (b) a = 0.05, and (c) α = 0.10. P=0.0176 (a) Do you reject or fail to reject Ho at the 0.01 level of significance? O A. Reject Ho because the P-value, 0.0176, is less than α = 0.01. OB. Reject Ho because the P-value, 0.0176, is greater than a = 0.01. O C. Fail to reject Ho because the P-value, 0.0176, is greater than α=0.01. O D. Fail to reject Ho because the P-value, 0.0176, is less than α = 0.01. (b) Do you reject or fail to reject Ho at the 0.05 level of significance? O A. Fail to reject Ho because the P-value, 0.0176, is less than a = 0.05. OB. Reject Ho because the P-value, 0.0176, is greater than α = 0.05. OC. Reject Ho because the P-value, 0.0176, is less than a = 0.05. O D. Fail to reject Ho because the P-value, 0.0176, is greater than α = 0.05. (c) Do you reject or fail to reject Ho at the 0.10 level of significance? O A. Fail to reject Ho because the P-value, 0.0176, is less than α = 0.10. OB. Reject Ho because the P-value, 0.0176, is less than a = 0.10. O C. Fail to reject Ho because the P-value, 0.0176, is greater than α = 0.10. O D. Reject Ho because the P-value, 0.0176, is greater than α=0.10. C

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### Hypothesis Testing and P-values

#### 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) \( \alpha = 0.10 \).

Given:  
\( P = 0.0176 \)

---

### (a) Do you reject or fail to reject \( H_0 \) at the 0.01 level of significance?

1. **A. Reject \( H_0 \) because the P-value, 0.0176, is less than \( \alpha = 0.01\).**
2. **B. Reject \( H_0 \) because the P-value, 0.0176, is greater than \( \alpha = 0.01\).**
3. **C. Fail to reject \( H_0 \) because the P-value, 0.0176, is greater than \( \alpha = 0.01\).**
4. **D. Fail to reject \( H_0 \) because the P-value, 0.0176, is less than \( \alpha = 0.01\).**

---

### (b) Do you reject or fail to reject \( H_0 \) at the 0.05 level of significance?

1. **A. Fail to reject \( H_0 \) because the P-value, 0.0176, is less than \( \alpha = 0.05\).**
2. **B. Reject \( H_0 \) because the P-value, 0.0176, is greater than \( \alpha = 0.05\).**
3. **C. Reject \( H_0 \) because the P-value, 0.0176, is less than \( \alpha = 0.05\).**
4. **D. Fail to reject \( H_0 \) because the P-value, 0.0176, is greater than \( \alpha = 0.05\).**

---

### (c) Do you reject or fail to reject \( H_0 \) at the 0.10 level of significance?

1. **A. Fail to reject \( H_0 \) because the P-value,
Transcribed Image Text:### Hypothesis Testing and P-values #### 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) \( \alpha = 0.10 \). Given: \( P = 0.0176 \) --- ### (a) Do you reject or fail to reject \( H_0 \) at the 0.01 level of significance? 1. **A. Reject \( H_0 \) because the P-value, 0.0176, is less than \( \alpha = 0.01\).** 2. **B. Reject \( H_0 \) because the P-value, 0.0176, is greater than \( \alpha = 0.01\).** 3. **C. Fail to reject \( H_0 \) because the P-value, 0.0176, is greater than \( \alpha = 0.01\).** 4. **D. Fail to reject \( H_0 \) because the P-value, 0.0176, is less than \( \alpha = 0.01\).** --- ### (b) Do you reject or fail to reject \( H_0 \) at the 0.05 level of significance? 1. **A. Fail to reject \( H_0 \) because the P-value, 0.0176, is less than \( \alpha = 0.05\).** 2. **B. Reject \( H_0 \) because the P-value, 0.0176, is greater than \( \alpha = 0.05\).** 3. **C. Reject \( H_0 \) because the P-value, 0.0176, is less than \( \alpha = 0.05\).** 4. **D. Fail to reject \( H_0 \) because the P-value, 0.0176, is greater than \( \alpha = 0.05\).** --- ### (c) Do you reject or fail to reject \( H_0 \) at the 0.10 level of significance? 1. **A. Fail to reject \( H_0 \) because the P-value,
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