document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=308881>Question 308881</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5.The advisor of an ecology club at a large college expects that the group consists of 10% freshman, 20% Sophomores, 40% Juniors and 30% Seniors. The membership for the club this year is observed to be 14 freshman, 19 sophomores, 51 Juniors and 16 Seniors. At 95% level of confidence, test the advisors belief.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #220872 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=220872\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The advisor of an ecology club at a large college expects that the group consists of 10% freshman, 20% Sophomores, 40% Juniors and 30% Seniors. The membership for the club this year is observed to be 14 freshman, 19 sophomores, 51 Juniors and 16 Seniors. At 95% level of confidence, test the advisors belief<BR>\n" );
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document.write( "Ho: proportions are as claimed<BR>\n" );
document.write( "Ha: at least one of the proportions is different<BR>\n" );
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document.write( "I ran a Chi-Sq test on the data and got the following:<BR>\n" );
document.write( "test stat: chi-sq = 6.2828<BR>\n" );
document.write( "p-value = 0.0986<BR>\n" );
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document.write( "Conclusion:<BR>\n" );
document.write( "Since the p-value is greater than alpha, fail to reject Ho.<BR>\n" );
document.write( "There is no significant difference from the claimed proportions<BR>\n" );
document.write( "at the 95% level of significance.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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