document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1200091>Question 1200091</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 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:<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #848143 by </B><A HREF=/tutors/aboutme.mpl?userid=textot><B>textot(100)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=textot><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=848143\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> **1. Understand the Wilcoxon Signed-Rank Test**\r<BR>\n" );
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document.write( "* The Wilcoxon Signed-Rank test is a non-parametric statistical hypothesis test used to compare two related samples. <BR>\n" );
document.write( "* It's used when the assumptions of a paired t-test (such as normality of the differences) are not met.<BR>\n" );
document.write( "* It ranks the absolute differences between the paired observations and then considers the signs of the differences.\r<BR>\n" );
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document.write( "**2. Determine Critical Value (One-Tailed Test)**\r<BR>\n" );
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document.write( "* 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. <BR>\n" );
document.write( "* **Find the critical value for a one-tailed test with α = 0.05 and n = 20 in the table.**\r<BR>\n" );
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document.write( "**3. Decision Rule**\r<BR>\n" );
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document.write( "* **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.\r<BR>\n" );
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document.write( "**Note:**\r<BR>\n" );
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document.write( "* The exact critical value will depend on the specific table you are using. <BR>\n" );
document.write( "* 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.\r<BR>\n" );
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document.write( "**To find the exact critical value:**\r<BR>\n" );
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document.write( "1. **Refer to a statistical table for the Wilcoxon Signed-Rank test.** <BR>\n" );
document.write( "2. **Look for the table that corresponds to a one-tailed test with α = 0.05.**<BR>\n" );
document.write( "3. **Find the row for n = 20.**<BR>\n" );
document.write( "4. **Read the critical value from the table.**\r<BR>\n" );
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document.write( "**Example:**\r<BR>\n" );
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document.write( "* If the table provides critical values for the sum of the ranks of positive differences:<BR>\n" );
document.write( "    * The critical value might be something like 60. \r<BR>\n" );
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document.write( "* If the table provides critical values for the sum of the ranks of all differences:<BR>\n" );
document.write( "    * The critical value might be something like 110.\r<BR>\n" );
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document.write( "**Remember to use the correct table and interpretation based on the specific table you are referencing.**<BR>\n" );
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