document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=401312>Question 401312</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the critical value for the following Chi- square test? A manufacturer has 4 locations and is looking to see if shipments with defects are dependent on the manufacturer location. The defects are categorized in two rows (with defects and no defects). The researcher is testing using a 95% confidence level. Write the null and alternative hypothesis for the scenario.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #284020 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=284020\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%5Bo%5D ALIGN=MIDDLE  ALT=\"H%5Bo%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >: Defects are independent of manufacturer location<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%5Ba%5D ALIGN=MIDDLE  ALT=\"H%5Ba%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >: Defects are associated with manufacturer location<BR>\n" );
document.write( "p = 0.05, with degrees of freedom = df = (2 - 1)(4 - 1) = 3.<BR>\n" );
document.write( "Critical value is 7.82. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );