document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=819091>Question 819091</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A local charity believes they receive more money from people in the River Heights<BR>\n" );
document.write( "neighborhood than from people in the Lakeview neighborhood. They conducted a survey of 24<BR>\n" );
document.write( "people randomly selected form each neighborhood and recorded<BR>\n" );
document.write( "the results. At &#945; = 0.01, is their<BR>\n" );
document.write( "hypothesis correct?<BR>\n" );
document.write( "Be sure to state the null and alternative hypothesis, the test value and the<BR>\n" );
document.write( "critical value.\r<BR>\n" );
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document.write( "River Heights             Lakeview<BR>\n" );
document.write( "X bar 1: $35/person       x bar 2: $25 / person<BR>\n" );
document.write( "s 1: $5/person            s 2: $8/person<BR>\n" );
document.write( "n: 24                     n:24\r<BR>\n" );
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document.write( "I believe I found the critical value of 2.5 but I can't figure out how to find the test value, any help is greatly appreciated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #493261 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=493261\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A local charity believes they receive more money from people in the River Heights neighborhood than from people in the Lakeview neighborhood. <BR>\n" );
document.write( "They conducted a survey of 24 people randomly selected form each neighborhood and recorded the results. <BR>\n" );
document.write( "At &#945; = 0.01, is their hypothesis correct?<BR>\n" );
document.write( "Be sure to state the null and alternative hypothesis, the test value and the<BR>\n" );
document.write( "critical value. <BR>\n" );
document.write( "River Heights           Lakeview<BR>\n" );
document.write( "X bar 1: $35/person     x bar 2: $25 / person<BR>\n" );
document.write( "s 1: $5/person          s 2: $8/person<BR>\n" );
document.write( "n: 24                   n:24 <BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Ho: u(rh)-u(L) <= 0<BR>\n" );
document.write( "Ha: u(rh)-u(L) >0  (claim)<BR>\n" );
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document.write( "The critical value = 2.3263 but <BR>\n" );
document.write( "test stat = z(35-25) = (10-0)/sqrt[5^2/24 + 8^2/24] = 5.1929<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Conclusion: Since the test stat is in the critical region, reject Ho.<BR>\n" );
document.write( "Conclusion: The test results support the claim.<BR>\n" );
document.write( "================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================ </SPAN>\n" );
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