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reject the null hypothesis. Explain. (a) t= 1.932 (b) t=0 (c) t=1.801 (d) t= - 1.905 to = 1.805 ..... O C. Reject Ho, because t> 1.895. O D. Reject Ho, because t< 1.895. (c) For t= 1.801, should you reject or fail to reject the null hypothesis? O A. Fail to reject Ho, because t< 1.895. O B. Reject Ho, because t> 1.895. O C. Reject Ho, because t< 1.895: O D. Fail to reject Ho, because t> 1.895. (d) For t= - 1.905, should you reject or fail to reject the null hypothesis?

reject the null hypothesis. Explain. (a) t= 1.932 (b) t=0 (c) t=1.801 (d) t= - 1.905 to = 1.805 ..... O C. Reject Ho, because t> 1.895. O D. Reject Ho, because t< 1.895. (c) For t= 1.801, should you reject or fail to reject the null hypothesis? O A. Fail to reject Ho, because t< 1.895. O B. Reject Ho, because t> 1.895. O C. Reject Ho, because t< 1.895: O D. Fail to reject Ho, because t> 1.895. (d) For t= - 1.905, should you reject or fail to reject the null hypothesis?

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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### Hypothesis Testing: Decision Rules **State whether the standardized test statistic \( t \) indicates that you should reject the null hypothesis. Explain.** Given values: - \( (a) \ t = 1.932 \) - \( (b) \ t = 0 \) - \( (c) \ t = 1.801 \) - \( (d) \ t = -1.905 \) **Diagram Explanation:** The diagram presents a normal distribution curve with a critical region indicated by a shaded area on the right tail, starting from \( t_0 = 1.895 \). 1. **For \( t = 1.932 \):** - **Option C:** Reject \( H_0 \), because \( t > 1.895 \). 2. **For \( t = 0 \):** - **Option D:** Reject \( H_0 \), because \( t < 1.895 \). 3. **For \( t = 1.801 \), should you reject or fail to reject the null hypothesis?** - **Option A:** Fail to reject \( H_0 \), because \( t < 1.895 \). 4. **For \( t = -1.905 \), should you reject or fail to reject the null hypothesis?** - **Given by options C and D but the specific choice is not visible in the image.** **Graphical Description:** The plotted graph shows a bell curve (normal distribution). The critical value of \( t_0 = 1.895 \) is marked, with areas beyond this point representing the regions where the null hypothesis \( H_0 \) would be rejected. **Interactive Tools:** There are options for "Statcrunch" and "Calculator," indicating tools available for statistical calculation and analysis. #### Additional Notes: Decisions concerning the null hypothesis involve determining whether the calculated \( t \)-value lies beyond the critical \( t \)-value in the right tail of the distribution. If it does, \( H_0 \) is rejected, indicating that the result is statistically significant.
Transcribed Image Text:### Hypothesis Testing: Decision Rules **State whether the standardized test statistic \( t \) indicates that you should reject the null hypothesis. Explain.** Given values: - \( (a) \ t = 1.932 \) - \( (b) \ t = 0 \) - \( (c) \ t = 1.801 \) - \( (d) \ t = -1.905 \) **Diagram Explanation:** The diagram presents a normal distribution curve with a critical region indicated by a shaded area on the right tail, starting from \( t_0 = 1.895 \). 1. **For \( t = 1.932 \):** - **Option C:** Reject \( H_0 \), because \( t > 1.895 \). 2. **For \( t = 0 \):** - **Option D:** Reject \( H_0 \), because \( t < 1.895 \). 3. **For \( t = 1.801 \), should you reject or fail to reject the null hypothesis?** - **Option A:** Fail to reject \( H_0 \), because \( t < 1.895 \). 4. **For \( t = -1.905 \), should you reject or fail to reject the null hypothesis?** - **Given by options C and D but the specific choice is not visible in the image.** **Graphical Description:** The plotted graph shows a bell curve (normal distribution). The critical value of \( t_0 = 1.895 \) is marked, with areas beyond this point representing the regions where the null hypothesis \( H_0 \) would be rejected. **Interactive Tools:** There are options for "Statcrunch" and "Calculator," indicating tools available for statistical calculation and analysis. #### Additional Notes: Decisions concerning the null hypothesis involve determining whether the calculated \( t \)-value lies beyond the critical \( t \)-value in the right tail of the distribution. If it does, \( H_0 \) is rejected, indicating that the result is statistically significant.
The image contains a question related to hypothesis testing and includes a graph illustrating a normal distribution. Here's the transcription and explanation: --- **Question:** State whether the standardized test statistic \( t \) indicates that you should reject the null hypothesis. Explain. **Options:** (a) \( t = 1.932 \) (b) \( t = 0 \) (c) \( t = 1.801 \) (d) \( t = -1.905 \) **(a) For \( t = 1.932 \), should you reject or fail to reject the null hypothesis?** - A. Fail to reject \( H_0 \), because \( t > 1.895 \). - B. Fail to reject \( H_0 \), because \( t < 1.895 \). - C. Reject \( H_0 \), because \( t > 1.895 \). - D. Reject \( H_0 \), because \( t < 1.895 \). **(b) For \( t = 0 \), should you reject or fail to reject the null hypothesis?** - A. Fail to reject \( H_0 \), because \( t > 1.895 \). - B. Fail to reject \( H_0 \), because \( t < 1.895 \). --- **Graph Explanation:** The graph shows a normal distribution curve centered around \( t = 0 \), with a critical region marked in cyan on the right side of the curve. This critical region starts at approximately \( t = 1.895 \), indicating the threshold for rejecting the null hypothesis. The areas under the curve represent different levels of significance, showing which values of \( t \) would lead to rejecting or failing to reject the null hypothesis. **Additional Information:** The options presented involve determining whether the test statistic \( t \) is greater or less than the critical value \( 1.895 \), which influences the decision to reject or fail to reject the null hypothesis.
Transcribed Image Text:The image contains a question related to hypothesis testing and includes a graph illustrating a normal distribution. Here's the transcription and explanation: --- **Question:** State whether the standardized test statistic \( t \) indicates that you should reject the null hypothesis. Explain. **Options:** (a) \( t = 1.932 \) (b) \( t = 0 \) (c) \( t = 1.801 \) (d) \( t = -1.905 \) **(a) For \( t = 1.932 \), should you reject or fail to reject the null hypothesis?** - A. Fail to reject \( H_0 \), because \( t > 1.895 \). - B. Fail to reject \( H_0 \), because \( t < 1.895 \). - C. Reject \( H_0 \), because \( t > 1.895 \). - D. Reject \( H_0 \), because \( t < 1.895 \). **(b) For \( t = 0 \), should you reject or fail to reject the null hypothesis?** - A. Fail to reject \( H_0 \), because \( t > 1.895 \). - B. Fail to reject \( H_0 \), because \( t < 1.895 \). --- **Graph Explanation:** The graph shows a normal distribution curve centered around \( t = 0 \), with a critical region marked in cyan on the right side of the curve. This critical region starts at approximately \( t = 1.895 \), indicating the threshold for rejecting the null hypothesis. The areas under the curve represent different levels of significance, showing which values of \( t \) would lead to rejecting or failing to reject the null hypothesis. **Additional Information:** The options presented involve determining whether the test statistic \( t \) is greater or less than the critical value \( 1.895 \), which influences the decision to reject or fail to reject the null hypothesis.
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