I just need to know why this is wrong below: What is the test statistic W? W=5 (incorrect) and  What is the p-value of this test? (p-value < 0.001-- incorrect)   Use the Wilcoxon signed rank test to test the hypothesis that the median number of pages in the statistics books in the library from which the sample was taken is 400. A sample of 12 statistics books have the following numbers of pages pages 127 217 486 132 397 297 396 327 292 256 358 272 What is the sum of the negative ranks (W-)? 75 What is the sum of the positive ranks (W+)? 5What type of test is this?     two tailedWhat is the test statistic W? 5 These are the critical values for a 1-tailed Wilcoxon Signed Rank test for n=12 Alpha Level 0.001 0.005 0.01 0.025 0.05 0.1 0.2 Critical Value 75 70 68 64 60 56 50 What is the p-value for this test?         p-value < 0.001

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 3GP
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I just need to know why this is wrong below:
What is the test statistic W? W=5 (incorrect)
and 
What is the p-value of this test? (p-value < 0.001-- incorrect)
 
Use the Wilcoxon signed rank test to test the hypothesis that the median number of pages in the statistics books in the library from which the sample was taken is 400. A sample of 12 statistics books have the following numbers of pages

pages
127
217
486
132
397
297
396
327
292
256
358
272


What is the sum of the negative ranks (W-)? 75 

What is the sum of the positive ranks (W+)? 5

What type of test is this?     two tailed

What is the test statistic W? 5 

These are the critical values for a 1-tailed Wilcoxon Signed Rank test for n=12
Alpha Level 0.001 0.005 0.01 0.025 0.05 0.1 0.2
Critical Value 75 70 68 64 60 56 50


What is the p-value for this test?         p-value < 0.001
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