document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1170992>Question 1170992</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the p-value for the Levene’s Test in an Oneway ANOVA equals .069, which of the  	following is the correct test to use for the MAIN hypothesis test?\r<BR>\n" );
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document.write( "a.Bonferroni<BR>\n" );
document.write( "b.Games-Howell<BR>\n" );
document.write( "c.Welch<BR>\n" );
document.write( "d.ANOVA - F\r<BR>\n" );
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document.write( "I got B am I correct?\r<BR>\n" );
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document.write( "7.Which of the following is an appropriate notation for the Alternative/Research 	Hypothesis in an Oneway ANOVA?<BR>\n" );
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document.write( "a.H0 : µ1 = µ2<BR>\n" );
document.write( "b.H0 : µD = 0<BR>\n" );
document.write( "c.H0 : µ1 = µ2 = µ3<BR>\n" );
document.write( "d.H1 : µ1 ≠ µ2 ≠ µ3<BR>\n" );
document.write( "e.H1 : Not all means are equal<BR>\n" );
document.write( "f.Both C & E\r<BR>\n" );
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document.write( "I got E am I correct? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #851017 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(1959)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CPhill><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/cgi-bin/show-face.mpl?user=CPhill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=851017\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You've asked these questions again. Let's reiterate the correct answers and explanations:\r<BR>\n" );
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document.write( "**1. Levene's Test and ANOVA Choice:**\r<BR>\n" );
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document.write( "* **Levene's Test** checks for the homogeneity of variances (whether the variances of the groups are equal).<BR>\n" );
document.write( "* A p-value of 0.069 indicates that the variances are *not significantly different* at the 0.05 level (since 0.069 > 0.05). This means you can proceed with a standard ANOVA.<BR>\n" );
document.write( "* **ANOVA - F** is the standard test when variances are assumed to be equal.<BR>\n" );
document.write( "* **Welch's test** is used when variances are unequal.<BR>\n" );
document.write( "* **Games-Howell** is a post-hoc test used when variances are unequal.<BR>\n" );
document.write( "* **Bonferroni** is a post-hoc test used when variances are assumed to be equal.\r<BR>\n" );
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document.write( "**Therefore, the correct answer is d. ANOVA - F. You are incorrect.**\r<BR>\n" );
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document.write( "**2. Alternative Hypothesis in Oneway ANOVA:**\r<BR>\n" );
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document.write( "* **H0 (Null Hypothesis):** All group means are equal (e.g., µ1 = µ2 = µ3).<BR>\n" );
document.write( "* **H1 (Alternative Hypothesis):** At least one group mean is different.\r<BR>\n" );
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document.write( "* Option e. \"H1 : Not all means are equal\" accurately reflects this.<BR>\n" );
document.write( "* Option d. \"H1 : µ1 ≠ µ2 ≠ µ3\" is too restrictive. It implies that *every* mean is different from *every* other mean, which isn't necessary for the alternative hypothesis to be true.\r<BR>\n" );
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document.write( "**Therefore, the correct answer is e. You are correct.**<BR>\n" );
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