document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1176455>Question 1176455</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Is college worth it? Part I:  Among a simple random sample of 331 American adults who do not have a four-year college degree and are not currently enrolled in school, 48% said they decided not to go to college because they could not afford school. \r<BR>\n" );
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document.write( "(a) A newspaper article states that only a minority of the Americans who decide not to go to college do so because they cannot afford it and uses the point estimate from this survey as evidence. Conduct a hypothesis test to determine if these data provide strong evidence supporting this statement.<BR>\n" );
document.write( "The hypotheses for this test are:<BR>\n" );
document.write( "Ho: p = .5 <BR>\n" );
document.write( "Ha: p < .5\r<BR>\n" );
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document.write( "The test statistic is: (please round to two decimal places) <BR>\n" );
document.write( "The p-value associated with this hypothesis test is: Incorrect (please round to four decimal places)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #803600 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=803600\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the test statistic is a z=(p hat-p)/sqrt(p(1-p)/n)<BR>\n" );
document.write( "=-.02/sqrt(.25/331)<BR>\n" );
document.write( "=-0.73<BR>\n" );
document.write( "p-value is z <-0.73 or 0.2334<BR>\n" );
document.write( "The calculator will give a slightly different answer, because one has to calculate 48% of 331 which is 159 to the nearest integer (dealing with people), not the 158.88 mathematically.<BR>\n" );
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