Homework Help is Here – Start Your Trial Now!
Math
Statistics
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 Ans. 11. Instead of using your result above, let's say your P-value turned out to be 0.001. What would you conclude? a. Reject the Null. At a = 0.01 the data indicate there is a negative population correlation. b. Reject the Null. At a = 0.01 the data indicate there is a positive population correlation. Fail to reject Null. At a = 0.01 the data indicate there is a positive population correlation d. Fail to reject Null. At a = 0.01 the data indicate there is not a positive population C. correlation. Ans.

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 Ans. 11. Instead of using your result above, let's say your P-value turned out to be 0.001. What would you conclude? a. Reject the Null. At a = 0.01 the data indicate there is a negative population correlation. b. Reject the Null. At a = 0.01 the data indicate there is a positive population correlation. Fail to reject Null. At a = 0.01 the data indicate there is a positive population correlation d. Fail to reject Null. At a = 0.01 the data indicate there is not a positive population C. correlation. Ans.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
Help me solve questions 10 and 11 with the following information. Please and thank you
**Understanding Statistical Significance and P-Values: A Guide for Students** **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. 0.0391 c. 0.0056 d. 0.0196 **11. Instead of using your result above, let's say your P-value turned out to be 0.0001. What would you conclude?** a. Reject the NULL. At α = 0.01, the data indicate there is a negative population correlation. b. Reject the NULL. At α = 0.01, the data indicate there is a positive population correlation. c. Fail to reject the NULL. At α = 0.01, the data indicate there is a positive population correlation. d. Fail to reject the NULL. At α = 0.01, the data indicate there is not a positive population correlation. **Answers:** 10. ______________ 11. ______________ **Explanation:** In the context of hypothesis testing, the P-value helps determine the significance of your results: - **Null Hypothesis (H0)**: This is a general statement or default position that there is no relationship between two measured phenomena or no association among groups. - **Alternative Hypothesis (H1)**: This proposes that there is a relationship or association between the variables being studied. Using the P-value, you compare this with your significance level (typically α = 0.05 or α = 0.01): - If the P-value is less than α, you reject the null hypothesis (H0). - If the P-value is greater than α, you fail to reject the null hypothesis (H0). For Question 11: If the P-value turned out to be 0.0001, and assuming the significance level α = 0.01: - Since 0.0001 < 0.01, you would reject the null hypothesis. - The correct answer would indicate that there is a strong correlation (positive or negative) because the result was statistically significant at the given alpha level.
Transcribed Image Text:**Understanding Statistical Significance and P-Values: A Guide for Students** **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. 0.0391 c. 0.0056 d. 0.0196 **11. Instead of using your result above, let's say your P-value turned out to be 0.0001. What would you conclude?** a. Reject the NULL. At α = 0.01, the data indicate there is a negative population correlation. b. Reject the NULL. At α = 0.01, the data indicate there is a positive population correlation. c. Fail to reject the NULL. At α = 0.01, the data indicate there is a positive population correlation. d. Fail to reject the NULL. At α = 0.01, the data indicate there is not a positive population correlation. **Answers:** 10. ______________ 11. ______________ **Explanation:** In the context of hypothesis testing, the P-value helps determine the significance of your results: - **Null Hypothesis (H0)**: This is a general statement or default position that there is no relationship between two measured phenomena or no association among groups. - **Alternative Hypothesis (H1)**: This proposes that there is a relationship or association between the variables being studied. Using the P-value, you compare this with your significance level (typically α = 0.05 or α = 0.01): - If the P-value is less than α, you reject the null hypothesis (H0). - If the P-value is greater than α, you fail to reject the null hypothesis (H0). For Question 11: If the P-value turned out to be 0.0001, and assuming the significance level α = 0.01: - Since 0.0001 < 0.01, you would reject the null hypothesis. - The correct answer would indicate that there is a strong correlation (positive or negative) because the result was statistically significant at the given alpha level.
--- **Hypothesis Testing: Correlation Between Miles Driven Before and During COVID-19** Let’s say that a study was conducted on the number of miles driven each month in the year before COVID-19 and the number of miles driven each month during the first year of COVID-19. The correlation coefficient for this sample data (n = 12) was \( r = 0.80 \). Using an \( \alpha = 0.01 \), test the claim that \( \rho > 0 \). This test will determine if there is a population correlation between miles driven in the year before COVID-19 and the first year of COVID-19. There is a worksheet at the end of the exam that you may use. Report your answers for each section A-E below. --- **Hypothesis Testing Steps** A. **State the Hypotheses** - Null Hypothesis (\( H_0 \)): \( \rho \leq 0 \) - Alternative Hypothesis (\( H_1 \)): \( \rho > 0 \) B. **Level of Significance** - \( \alpha = 0.01 \) C. **Compute the Test Statistic** You will need to calculate the test statistic using the correlation coefficient (\( r \)) and the sample size (\( n \)). Formula: \[ t = \frac{r \sqrt{n-2}}{\sqrt{1-r^2}} \] D. **Determine the Critical Value from t-distribution Table** - Use the degrees of freedom (df = n - 2) to determine the critical value for a one-tailed test. E. **Compare the Test Statistic with the Critical Value** - If the test statistic > critical value, reject the null hypothesis, otherwise, do not reject the null hypothesis. --- **Conclusion** Based on the results from the hypothesis test, you will determine whether there is significant evidence to support the claim that there is a positive correlation between the number of miles driven before COVID-19 and during the first year of COVID-19. ---
Transcribed Image Text:--- **Hypothesis Testing: Correlation Between Miles Driven Before and During COVID-19** Let’s say that a study was conducted on the number of miles driven each month in the year before COVID-19 and the number of miles driven each month during the first year of COVID-19. The correlation coefficient for this sample data (n = 12) was \( r = 0.80 \). Using an \( \alpha = 0.01 \), test the claim that \( \rho > 0 \). This test will determine if there is a population correlation between miles driven in the year before COVID-19 and the first year of COVID-19. There is a worksheet at the end of the exam that you may use. Report your answers for each section A-E below. --- **Hypothesis Testing Steps** A. **State the Hypotheses** - Null Hypothesis (\( H_0 \)): \( \rho \leq 0 \) - Alternative Hypothesis (\( H_1 \)): \( \rho > 0 \) B. **Level of Significance** - \( \alpha = 0.01 \) C. **Compute the Test Statistic** You will need to calculate the test statistic using the correlation coefficient (\( r \)) and the sample size (\( n \)). Formula: \[ t = \frac{r \sqrt{n-2}}{\sqrt{1-r^2}} \] D. **Determine the Critical Value from t-distribution Table** - Use the degrees of freedom (df = n - 2) to determine the critical value for a one-tailed test. E. **Compare the Test Statistic with the Critical Value** - If the test statistic > critical value, reject the null hypothesis, otherwise, do not reject the null hypothesis. --- **Conclusion** Based on the results from the hypothesis test, you will determine whether there is significant evidence to support the claim that there is a positive correlation between the number of miles driven before COVID-19 and during the first year of COVID-19. ---
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS