document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1077023>Question 1077023</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Previously, 9.4&#8203;% of workers had a travel time to work of more than 60 minutes. An urban economist believes that the percentage has increased since then. She randomly selects 60 workers and finds that 12 of them have a travel time to work that is more than 60 minutes. Test the&#8203; economist's belief at the <BR>\n" );
document.write( "&#945;=0.1 level of significance.<BR>\n" );
document.write( "What is the P value? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #691586 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=691586\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Previously, 9.4&#8203;% of workers had a travel time to work of more than 60 minutes. An urban economist believes that the percentage has increased since then. the percentage has increased since then. She randomly selects 60 workers and finds that 12 of them have a travel time to work that is more than 60 minutes. Test the&#8203; economist's belief at the &#945;=0.1 level of significance.<BR>\n" );
document.write( "What is the P value?<BR>\n" );
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document.write( "Ho: p <= 0.094<BR>\n" );
document.write( "Ha: p > 0.094 (claim)<BR>\n" );
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document.write( "Sample proportion:: 12/60 = 0.20<BR>\n" );
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document.write( "Test statistic:: z(0.20) = (0.20-0.094)/sqrt[0.094*0.906/60] = 2.8135<BR>\n" );
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document.write( "p-value = P(z > 2.8135) = normalcdf(2.8135,100) = 0.0025<BR>\n" );
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document.write( "Conclusion:: Since the p-value is less than 1%, reject Ho.<BR>\n" );
document.write( "The test results support the claim.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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