document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=926287>Question 926287</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I just need help setting this question up and the formulas with it thank you\r<BR>\n" );
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document.write( "A recent survey showed that in a sample of 100 elementary school teachers, 15 smoked. In a sample of 180 high school teachers, 36 smoked. is the proportion of high school teachers who smoke greater than the proportion of elementary schools school teachers who smoke? use alpha=0.01. \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #562134 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=562134\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A recent survey showed that in a sample of 100 elementary school teachers, 15 smoked. In a sample of 180 high school teachers, 36 smoked. is the proportion of high school teachers who smoke greater than the proportion of elementary schools school teachers who smoke? use alpha=0.01.<BR>\n" );
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document.write( "element p1-hat = 0.15 <BR>\n" );
document.write( "h.s. p2-hat = 36/80 = 0.2<BR>\n" );
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document.write( "Test:: Is hs greater than elem<BR>\n" );
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document.write( "Ho: p2 - p1 <= 0<BR>\n" );
document.write( "Ha: p2 - pa > 0 (claim)<BR>\n" );
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document.write( "Sample proportion:: p2-hat - p1-hat = 0.2-0.15 = 0.05<BR>\n" );
document.write( "test stat formula z(p1-p1) = [(p2-hat-p1-hat)-(0]/sqrt[(pq/n1+pq/n2]<BR>\n" );
document.write( "test statistic:: z(0.05) = (0.05)/[sqrt{(0.15*0.2/100)+(0.15*0.2/180)] = 2.3146<BR>\n" );
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document.write( "p-value = P(z > 2.3146) = 0.0103<BR>\n" );
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document.write( "Conclusion:: Since the p-value equals alpha, the test is inconclusive.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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