document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1079141>Question 1079141</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It is speculated that statistics classes in community college has a retention rate of 65% (this is the percentage of students who complete the course). A college teacher seems to think that his retention rate is significantly better than 65%. He collected data from his past classes and found that out of 270<BR>\n" );
document.write( "students, his retention rate was 76.7%. At the 0.01 significance level, test the<BR>\n" );
document.write( "claim that this teacher's retention rate is significantly greater than 65%.<BR>\n" );
document.write( "- Find the test statistic and p value<BR>\n" );
document.write( "- State the null and alternative hypotheses and distribution you will use\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 #693506 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=693506\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho:no difference between teacher's rate and the historical rate<BR>\n" );
document.write( "Ha: there is a difference<BR>\n" );
document.write( "alpha=0.01<BR>\n" );
document.write( "test statistic is one sample proportion z=(phat-p)/sqrt (p*(1-p))/n<BR>\n" );
document.write( "critical value |z|>2.576<BR>\n" );
document.write( "z=(0.117)/0.0290<BR>\n" );
document.write( "=4.03<BR>\n" );
document.write( "highly significant difference, so reject Ho.<BR>\n" );
document.write( "p-value <0.0001<BR>\n" );
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