document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=774927>Question 774927</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The following hypotheses are given.<BR>\n" );
document.write( "H0(small zero):p < or equal to 0<BR>\n" );
document.write( "H1 (small one):p > 0\r<BR>\n" );
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document.write( "A random sample of 15 paired observations have a correlation of -.46. Can we\r<BR>\n" );
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document.write( " conclude that the correlation in the population is less than zero? Use the.05\r<BR>\n" );
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document.write( " significance  (Lind. Statistical Techniques in Business & Economics. 2012) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #472511 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=472511\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Question:<BR>\n" );
document.write( "The following hypotheses are given.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%5B0%5D ALIGN=MIDDLE  ALT=\"H%5B0%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >:p &#8804; 0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%5B1%5D ALIGN=MIDDLE  ALT=\"H%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >):p > 0<BR>\n" );
document.write( "A random sample of 15 paired observations have a correlation of -.46. Can we<BR>\n" );
document.write( "conclude that the correlation in the population is less than zero? Use the.05<BR>\n" );
document.write( "significance (Lind. Statistical Techniques in Business & Economics. 2012)<BR>\n" );
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document.write( "Answer:<BR>\n" );
document.write( "The hypotheses should be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%5B0%5D ALIGN=MIDDLE  ALT=\"H%5B0%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >:p &#8805; 0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%5B1%5D ALIGN=MIDDLE  ALT=\"H%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >:p < 0<BR>\n" );
document.write( "&#945; = .05<BR>\n" );
document.write( "Test Statistic: t, df = 13<BR>\n" );
document.write( "Critical Value: -1.7709<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%2Asqrt%28%28n-2%29%2F%281-r%5E2%29%29 ALIGN=MIDDLE  ALT=\"r%2Asqrt%28%28n-2%29%2F%281-r%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-0.46%2Asqrt%28%2815-2%29%2F%281-%28-0.46%29%5E2%29%29 ALIGN=MIDDLE  ALT=\"-0.46%2Asqrt%28%2815-2%29%2F%281-%28-0.46%29%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -1.8679<BR>\n" );
document.write( "P-Value: 0.0422<BR>\n" );
document.write( "Reject <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%5B0%5D ALIGN=MIDDLE  ALT=\"H%5B0%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > because the p-value is less than &#945; = .05. Sample provides evidence to support the claim that the correlation in the population is less than zero. </SPAN>\n" );
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