document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1079177>Question 1079177</A>: <I><SPAN STYLE=\"word-break: break-all;\"> According to a Pew Research Center nationwide telephone survey of adults conducted between March 15 and April 24, 2011, 55% of college graduates said that college education prepared them for a job (Time, May 30, 2011). Suppose this result was true of all college graduates at that time. In a recent sample of 1950 college graduates, 60% said that college education prepared them for a job. Is there significant evidence at a 10% significance level to conclude that the current percentage of all college graduates who will say that college education prepared them for a job is different from 55%? Use both the p-value and the critical-value approaches.\r<BR>\n" );
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document.write( "Round your answers for the observed value of z and the critical value of z to two decimal places, and the p-value to four decimal places. Enter the critical values in increasing order.\r<BR>\n" );
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document.write( "z observed =\r<BR>\n" );
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document.write( "p-value =\r<BR>\n" );
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document.write( "Critical values: ? and ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #693522 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=693522\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> According to a Pew Research Center nationwide telephone survey of adults conducted between March 15 and April 24, 2011, 55% of college graduates said that college education prepared them for a job (Time, May 30, 2011). Suppose this result was true of all college graduates at that time. In a recent sample of 1950 college graduates, 60% said that college education prepared them for a job. Is there significant evidence at a 10% significance level to conclude that[ the current percentage of all college graduates who will say that college education prepared them for a job is different from 55%? Use both the p-value and the critical-value approaches. <BR>\n" );
document.write( "Round your answers for the observed value of z and the critical value of z to two decimal places, and the p-value to four decimal places. Enter the critical values in increasing order.<BR>\n" );
document.write( "Ho: p = 0.55<BR>\n" );
document.write( "Ha: p # 0.55<BR>\n" );
document.write( "z(0.60) = (0.60-0.55)/sqrt[0.55*0.45/1950] = 4.438<BR>\n" );
document.write( "z observed = 4.438<BR>\n" );
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document.write( "p-value = 2*P(z > 4.438) = 2*normalcdf(4.438,100) = 0.000009082<BR>\n" );
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document.write( "Critical values: = -1.645 and +1.645<BR>\n" );
document.write( "============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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