document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64429>Question 64429</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A random sample of 1000 students showed 535 perfer coffee over tea.  If the percentage of students who prefer coffee is p, test Ho: p =.50 versus Ha: p>.50 at the .05 significance level.  My conclusion should be:\r<BR>\n" );
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document.write( "1. reject Ho and conclude the evidence supports Ha<BR>\n" );
document.write( "2. fail to reject Ho<BR>\n" );
document.write( "3. gather more data because I am unable to complete the analysis as stated<BR>\n" );
document.write( "4. inclusive of Student's (t) test because of the sample size<BR>\n" );
document.write( "5. none of these answers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #45063 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=45063\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A random sample of 1000 students showed 535 prefer coffee over tea.  If the percentage of students who prefer coffee is p, test Ho: p =.50 versus Ha: p>.50 at the .05 significance level.  My conclusion should be:\r<BR>\n" );
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document.write( "1. reject Ho and conclude the evidence supports Ha<BR>\n" );
document.write( "2. fail to reject Ho<BR>\n" );
document.write( "3. gather more data because I am unable to complete the analysis as stated<BR>\n" );
document.write( "4. inclusive of Student's (t) test because of the sample size<BR>\n" );
document.write( "5. none of these answers<BR>\n" );
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document.write( "Ho: p=0.5<BR>\n" );
document.write( "Ha: p>0.5<BR>\n" );
document.write( "n=1000, x=535, p-hat=535/1000,alpha=5%<BR>\n" );
document.write( "This calls for a right-tailed test with a critical t-value =1.65<BR>\n" );
document.write( "Test statistic = t(535/1000)=[0.535-0.50)/sqrt[0.5*0.5/1000]=2.21<BR>\n" );
document.write( "p-value associated with this test statistic = 0.013...<BR>\n" );
document.write( "Since the p-value is less than alpha, \"Reject Ho and conclude<BR>\n" );
document.write( "the evidence supports Ha\".<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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