document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198283>Question 1198283</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A study given in previous years showed that 25% of people voted in cities, 45% voted  in rural areas, and 30% voted overseas.  A most recent study  of 100 persons shows that 35 of them  voted in cities, 27 in rural areas, and 38 voted while overseas.\r<BR>\n" );
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document.write( "At 0.05 level, what of the following can be concluded? Choose one of the following. \r<BR>\n" );
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document.write( "A) The test value is greater than the critical value, the proportions differ. <BR>\n" );
document.write( "B) The test value  is less than the critical value, the proportions differ <BR>\n" );
document.write( "C) The test value is greater than the critical value, the proportions do not differ. <BR>\n" );
document.write( "D) The test value is less than the critical value, the proportions do not differ.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #831840 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=831840\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Claim: 25% of people voted in cities, 45% voted in rural areas, and 30% voted overseas.<BR>\n" );
document.write( "A most recent study of 100 persons:<BR>\n" );
document.write( "35 of them voted in cities, 27 in rural areas, and 38 voted while overseas.<BR>\n" );
document.write( ">>>>>>>>>><BR>\n" );
document.write( "Comparing Rural voting to see if there is validity to the differences. <BR>\n" );
document.write( "Ho: p = .45<BR>\n" );
document.write( "Ha: p ≠  .45<BR>\n" );
document.write( "two-sided.  Using 95% CI, the critical value = 1.96<BR>\n" );
document.write( " test statistic  is <BR>\n" );
document.write( "z = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=blue+%28x+-+mu%29%2Fsqrt%28blue%28p%281-p%29%2Fn%29%29 ALIGN=MIDDLE  ALT=\"z+=blue+%28x+-+mu%29%2Fsqrt%28blue%28p%281-p%29%2Fn%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=blue+%28%28.27-.45%29%29%2Fsqrt%28blue%28.45%28.55%29%2F100%29%29 ALIGN=MIDDLE  ALT=\"z+=blue+%28%28.27-.45%29%29%2Fsqrt%28blue%28.45%28.55%29%2F100%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -3.6181<BR>\n" );
document.write( "|-3.6181| > 1.96 <BR>\n" );
document.write( "Proceed to Use 'difference' comparison<BR>\n" );
document.write( "Ho: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5Bc%5D+-+p%5Bs%5D ALIGN=MIDDLE  ALT=\"p%5Bc%5D+-+p%5Bs%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0<BR>\n" );
document.write( "Ha:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5Bc%5D+-+p%5Bs%5D+ ALIGN=MIDDLE  ALT=\"p%5Bc%5D+-+p%5Bs%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" >≠  0\r<BR>\n" );
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document.write( " </SPAN>\n" );
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