Statistics: Concepts and Controversies
Statistics: Concepts and Controversies
9th Edition
ISBN: 9781464192937
Author: David S. Moore, William I. Notz
Publisher: W. H. Freeman
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Chapter 22, Problem 1CS
To determine

To explain: The P-value is lower than 0.001.

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Answer to Problem 1CS

Solution: The smaller P-value shows that there is a difference between the amount of the time of socialization that is reported by the two groups.

Explanation of Solution

A study is said to be statistically significant if the null hypothesis of the study is rejected at the desired level of significance.

The obtained P-value is less than 0.001, which is less than the desired significance level. That is, the null hypothesis will be rejected in the provided scenario. The acceptance of the null hypothesis shows that there is no difference between the two groups of college freshmen, while one group is used to socialize at least 16 hours in each week and the other group is used to socialize for 5 dedicated hours.

As the null hypothesis is not accepted, it can be said that there is a difference between the amount of the time of socialization, which is reported by the two groups, and the difference cannot occur due to some random chance. The lesser P-value indicates that the test provides a statistically significant result.

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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+)? 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
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