document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=986138>Question 986138</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The U.S. Department of Education reports that 46% of full-time college students are employed while attending college.  A recent survey of 60 full-time students at Miami University found that 29 were employed.<BR>\n" );
document.write( "a) Use the five-step p-value approach to hypothesis testing and a 0.05 level of significance to determine whether the proportion of full-time students at Miami University is different from the national norm of 0.46.<BR>\n" );
document.write( "b) Assume that the study found that 36 of the 60 full-time students were employed and repeat (a). Are the conclusions the same? <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 #606927 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=606927\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho:p=0.46<BR>\n" );
document.write( "Ha:p not = 0.46<BR>\n" );
document.write( "alpha=0.05<BR>\n" );
document.write( "test statistic is a 1 sample proportion.<BR>\n" );
document.write( "Critical value is |z|>1.96<BR>\n" );
document.write( "z=(phat-p)/sqrt { p*(1-p)/n}; = 0.02833/0.0643<BR>\n" );
document.write( "=0.36<BR>\n" );
document.write( "Fail to reject the null hypothesis, so insufficient evidence to say that there is a difference from that national norm.<BR>\n" );
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document.write( "With 60, and p hat =0.6, z=2.18, and we would reject the null hypothesis and say there is a difference at the 3% level of significance (p=0.0295).  The conclusions are not the same. </SPAN>\n" );
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