document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=741969>Question 741969</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A political strategist believes that at least 58% of voters in a certain state support his candidate.  He then commissions a poll of 500 voters and 60% of them support his candidate. At  &#945; = .05, test the claim. \r<BR>\n" );
document.write( "\n" );
document.write( "a)  State the hypotheses and identify the claim\r<BR>\n" );
document.write( "\n" );
document.write( "            b)  Find the critical values\r<BR>\n" );
document.write( "\n" );
document.write( "            c)  Compute the test values\r<BR>\n" );
document.write( "\n" );
document.write( "            d)  Make the decision\r<BR>\n" );
document.write( "\n" );
document.write( "            e)  Summarize the results<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #452219 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=452219\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A political strategist believes that at least 58% of voters in a certain state support his candidate. He then commissions a poll of 500 voters and 60% of them support his candidate. At &#945; = .05, test the claim. <BR>\n" );
document.write( "a) State the hypotheses and identify the claim<BR>\n" );
document.write( "Ho: p >= 0.58 (clsim)<BR>\n" );
document.write( "Ha: p < 0.58<BR>\n" );
document.write( "------------------------ <BR>\n" );
document.write( "b) Find the critical values<BR>\n" );
document.write( "z = -1.645<BR>\n" );
document.write( "--------------------------------------- <BR>\n" );
document.write( "c) Compute the test values<BR>\n" );
document.write( "z(0.6) = (0.6-0.58)/sqrt(0.58*0.42/500) = 0.9061<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "d) Make the decision<BR>\n" );
document.write( "Since the test statistic is not in the reject interval,<BR>\n" );
document.write( "fail to reject Ho.<BR>\n" );
document.write( "---------------------- <BR>\n" );
document.write( "e) Summarize the results<BR>\n" );
document.write( "The test results do not support the claim at the 5% significance level.<BR>\n" );
document.write( "==================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "==================================<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );