SOLUTION: The significance level for the Wilcoxon Signed Rank test for paired samples is 0.05. The alternative hypothesis is H1: md > 0. The critical value for the Wilcoxon test if n= 20 is:

Algebra ->  Probability-and-statistics -> SOLUTION: The significance level for the Wilcoxon Signed Rank test for paired samples is 0.05. The alternative hypothesis is H1: md > 0. The critical value for the Wilcoxon test if n= 20 is:      Log On


   

Question 1200091: The significance level for the Wilcoxon Signed Rank test for paired samples is 0.05. The alternative hypothesis is H1: md > 0. The critical value for the Wilcoxon test if n= 20 is:
Answer by textot(100) About Me  (Show Source):
You can put this solution on YOUR website!
**1. Understand the Wilcoxon Signed-Rank Test**
* The Wilcoxon Signed-Rank test is a non-parametric statistical hypothesis test used to compare two related samples.
* It's used when the assumptions of a paired t-test (such as normality of the differences) are not met.
* It ranks the absolute differences between the paired observations and then considers the signs of the differences.
**2. Determine Critical Value (One-Tailed Test)**
* For a one-tailed test with n = 20 and significance level α = 0.05, you would typically use a table of critical values for the Wilcoxon Signed-Rank test.
* **Find the critical value for a one-tailed test with α = 0.05 and n = 20 in the table.**
**3. Decision Rule**
* **Reject the null hypothesis (H0)** if the calculated test statistic (the sum of the ranks of the positive differences) is greater than or equal to the critical value from the table.
**Note:**
* The exact critical value will depend on the specific table you are using.
* Some tables might provide critical values for the sum of the ranks of positive differences, while others might provide critical values for the sum of the ranks of all differences.
**To find the exact critical value:**
1. **Refer to a statistical table for the Wilcoxon Signed-Rank test.**
2. **Look for the table that corresponds to a one-tailed test with α = 0.05.**
3. **Find the row for n = 20.**
4. **Read the critical value from the table.**
**Example:**
* If the table provides critical values for the sum of the ranks of positive differences:
* The critical value might be something like 60.
* If the table provides critical values for the sum of the ranks of all differences:
* The critical value might be something like 110.
**Remember to use the correct table and interpretation based on the specific table you are referencing.**