document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1005532>Question 1005532</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 	Research at Smallville University revealed that 50% of students change their major studies after their first year in a program.  A random sample of 100 students in their first year in a program revealed that 48 had changed their major studies.  Has there been a significant decrease in the proportion of students who change their major studies after their first year in a program?  Test at the .05 level of significance.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #621747 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=621747\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Research at Smallville University revealed that 50% of students change their major studies after their first year in a program.  A random sample of 100 students in their first year in a program revealed that 48 had changed their major studies.  Has there been a significant decrease in the proportion of students who change their major studies after their first year in a program?  Test at the .05 level of significance.<BR>\n" );
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document.write( "Ho: p >= 0.5<BR>\n" );
document.write( "Ha: p < 0.5 (claim)<BR>\n" );
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document.write( "p-hat = 0.48<BR>\n" );
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document.write( "z(0.48) = (0.48-0.50)/sqrt[0.5*0.5/100) = -0.4<BR>\n" );
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document.write( "P-value = P(z < -0.4) = 0.34<BR>\n" );
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document.write( "Conclusion:: Since the P-value is greater than 5%<BR>\n" );
document.write( "fail to reject Ho.<BR>\n" );
document.write( "The test results do not support the claim.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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