Estimating p-value for Wilcoxon Signed-Rank Test

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SUMMARY

The discussion focuses on estimating the p-value for the Wilcoxon Signed-Rank Test, specifically with a sample size of n = 17. The user calculated a test statistic W = 62 and identified a rejection region of W <= 41, leading to a rejection of the null hypothesis (Ho: M1 = M2). However, confusion arises regarding the proper estimation of the p-value using the W-alpha table, as the rejection region value of 41 does not appear in the table for n = 17. This indicates a need for clarification on the correct interpretation of the W-alpha table in relation to the Wilcoxon test.

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Ford
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I'm trying to estimate the p-value range for a Wilcoxon Signed-Rank Test using a "www.dekasinthevents.org/images/wtable.jpg"[/URL]. For example:

Ho: M1 = M2
Ha: M1 < M2
alpha = 0.05
n = 17

I calculated W = 62 and the rejection region W <= 41. So I would reject Ho.

But I'm also required to know how to come to a conclusion using the estimated p-value that's supposed to come from the [PLAIN]"www.dekasinthevents.org/images/wtable.jpg"[/URL]. In a t-test using a t-table I would look at the t-table at the row with the right degrees of freedom and see where my test statistic would fall in. When I try to do this with a Wilcoxon test and a W-alpha table it gives me conclusion that contradicts the one I get from the test itself.

Any ideas on how to estimate the p-value properly from the W-alpha table? Thanks.
 
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How do you know that the rejection region is W <= 41? "41" is nowhere on the table on row "n=17".
 
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