document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=327054>Question 327054</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Human Resources Director for a large company is studying absenteeism among hourly workers. A sample of 120 day shift employees showed 15 were absent more than five days last year. A sample of 80 afternoon employees showed 18 to be absent five or more times. At the 0.01 significance level can we conclude that there is a higher proportion of absenteeism among afternoon employees?\r<BR>\n" );
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document.write( "a.   State the null and alternate hypotheses.<BR>\n" );
document.write( "b.   State the decision rule.<BR>\n" );
document.write( "c.   Compute the value of the test statistic.<BR>\n" );
document.write( "d.   Compute the p-value.<BR>\n" );
document.write( "e.   What is your decision regarding the null hypothesis?   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #234221 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=234221\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The Human Resources Director for a large company is studying absenteeism among hourly workers.<BR>\n" );
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document.write( "A sample of 120 day shift employees showed 15 were absent more than five days last year.<BR>\n" );
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document.write( "A sample of 80 afternoon employees showed 18 to be absent five or more times. <BR>\n" );
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document.write( "At the 0.01 significance level can we conclude that there is a higher proportion of absenteeism among afternoon employees?<BR>\n" );
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document.write( "a. State the null and alternate hypotheses.<BR>\n" );
document.write( "Ho: p(aft)-p(day) = 0<BR>\n" );
document.write( "Ha: P(aft)-p(day) > 0<BR>\n" );
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document.write( "b. State the decision rule.<BR>\n" );
document.write( "reject Ho if ts > 2.3263<BR>\n" );
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document.write( "c. Compute the value of the test statistic.<BR>\n" );
document.write( "I ran a 2-PropZtest and got:<BR>\n" );
document.write( "z = 1.8665<BR>\n" );
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document.write( "d. Compute the p-value.<BR>\n" );
document.write( "P(z > 1.8665) = 0.0310<BR>\n" );
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document.write( "e. What is your decision regarding the null hypothesis?<BR>\n" );
document.write( "Since the p-value is greater than 1%, fail to reject Ho.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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