Problems 7-11. Let's say that a study was done on the number of miles driven each month in the year before COVID and the number of miles driven each month during the first year of COVID. And let's say that the correlation coefficient for this sample data (n=12) data was r=0.80. Using an a = = .01, test the claim that p > 0, there is a population correlation between miles driven in the year before COVID and the first year of COVID. There is a worksheet at the end of the exam that you may use. BUT report your answers for each section A-E below. 7. Choose the best Null and Alternate Hypotheses for this study: a. Ho: p>0, H₁: p<0 b. Ho: p= 0, H₁: p < 0 c. Ho: p= 0, H₁: p > 0 d. Ho: p>0, H₁: p = 0 Ans 8. What type of shape will you choose for the sampling distribution? a. F-distribution b. X² C. Normal d. Student's t Ans 9. Calculate the value of the test statistic (F, X², z, or t) that you chose in #8 for this study. a. 3.10 b. 2.37 C. 4.22 d. 7.89 Ans.

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### Problems 7 – 11

Let's say that a study was done on the number of miles driven each month in the year before COVID and the number of miles driven each month during the first year of COVID. And let's say that the correlation coefficient for this sample data (n=12) data was r = 0.80.

Using an \(\alpha = 0.01\), test the claim that \(\rho > 0\), there is a population correlation between miles driven in the year before COVID and the first year of COVID. There is a worksheet at the end of the exam that you may use. But report your answers for each section A-E below.

7. **Choose the best Null and Alternate Hypotheses for this study:**
   - a. \(H_0: \rho > 0, H_1: \rho < 0\)
   - b. \(H_0: \rho = 0, H_1: \rho < 0\)
   - c. \(H_0: \rho = 0, H_1: \rho > 0\)
   - d. \(H_0: \rho > 0, H_1: \rho = 0\)
   
   **Answer:** _______

8. **What type of shape will you choose for the sampling distribution?**
   - a. F-distribution
   - b. \(\chi^2\)
   - c. Normal
   - d. Student’s t
   
   **Answer:** _______

9. **Calculate the value of the test statistic (F, \(\chi^2\), z, or t) that you chose in #8 for this study.**
   - a. 3.10
   - b. 2.37
   - c. 4.22
   - d. 7.89
   
   **Answer:** _______

10. **Using your test statistic, use EXCEL or the table to determine the P-value. (If you choose to use the table, the range that the table gives should help you select the correct value below.)**
    - a. 0.00088
    - b. 0.391
    - c. 0.0056
    - d. 0.0196
    
    **Answer:** _______

11. **Instead of using your result above, let
Transcribed Image Text:### Problems 7 – 11 Let's say that a study was done on the number of miles driven each month in the year before COVID and the number of miles driven each month during the first year of COVID. And let's say that the correlation coefficient for this sample data (n=12) data was r = 0.80. Using an \(\alpha = 0.01\), test the claim that \(\rho > 0\), there is a population correlation between miles driven in the year before COVID and the first year of COVID. There is a worksheet at the end of the exam that you may use. But report your answers for each section A-E below. 7. **Choose the best Null and Alternate Hypotheses for this study:** - a. \(H_0: \rho > 0, H_1: \rho < 0\) - b. \(H_0: \rho = 0, H_1: \rho < 0\) - c. \(H_0: \rho = 0, H_1: \rho > 0\) - d. \(H_0: \rho > 0, H_1: \rho = 0\) **Answer:** _______ 8. **What type of shape will you choose for the sampling distribution?** - a. F-distribution - b. \(\chi^2\) - c. Normal - d. Student’s t **Answer:** _______ 9. **Calculate the value of the test statistic (F, \(\chi^2\), z, or t) that you chose in #8 for this study.** - a. 3.10 - b. 2.37 - c. 4.22 - d. 7.89 **Answer:** _______ 10. **Using your test statistic, use EXCEL or the table to determine the P-value. (If you choose to use the table, the range that the table gives should help you select the correct value below.)** - a. 0.00088 - b. 0.391 - c. 0.0056 - d. 0.0196 **Answer:** _______ 11. **Instead of using your result above, let
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