Answer all A, B, C questions **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**---**(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 \( \alpha = 0.01 \).---**(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 \( \alpha = 0.05 \).---**Note:** The "Next" button is provided at the bottom right of the page but is not functional as this is a screenshot. 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 \( \alpha = 0.10 \).---There are no graphs or diagrams present in the image.

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

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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