document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=930136>Question 930136</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help pleaseee<BR>\n" );
document.write( "- Consider a test for mue(mean). <BR>\n" );
document.write( "A) if the p-value is such that you can reject H_0 at the 1% level signifucance, can you always reject H_0 at 5% level significance? Explain why or why not. \r<BR>\n" );
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document.write( "B) if the p-value is such that you can reject H_0 at the 5% level of significance, can you always reject H_0 at the 1% level significance? Explain why or why not. \r<BR>\n" );
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document.write( "I have to show all the work!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #564710 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=564710\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rule: if the p-value is less than alpha, then you reject the null hypothesis H0. The same is true in reverse. If we rejected H0, then the p-value is less than alpha.\r<BR>\n" );
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document.write( "alpha = level of significance\r<BR>\n" );
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document.write( "A)\r<BR>\n" );
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document.write( "\"if the p-value is such that you can reject H_0 at the 1% level significance\"\r<BR>\n" );
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document.write( "Given that quote above, we know for a fact that the p-value is less than 0.01. So the p-value is certainly also less than 0.05\r<BR>\n" );
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document.write( "Question: \"can you always reject H_0 at 5% level significance?\"\r<BR>\n" );
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document.write( "Answer: Yes we always can because whatever the p-value is, it's certainly less than 0.05 (since it's less than 0.01 already)\r<BR>\n" );
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document.write( "B)\r<BR>\n" );
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document.write( "Now we flip part A) around. If we know the p-value is less than 0.05, then it's not always going to be less than 0.01 at the same time. The p-value could be 0.02\r<BR>\n" );
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document.write( "0.02 is certainly less than 0.05 but it's NOT less than 0.01\r<BR>\n" );
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document.write( "Question: \"if the p-value is such that you can reject H_0 at the 5% level of significance, can you always reject H_0 at the 1% level significance?\"\r<BR>\n" );
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document.write( "Answer: No we cannot always reject H0 at the 1% significance level (see explanation above)\r<BR>\n" );
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document.write( "Jim\r<BR>\n" );
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