document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=526469>Question 526469</A>: <I><SPAN STYLE=\"word-break: break-all;\"> As a condition of employment, Fashion Industries applicants must pass a drug test. Of the last 220 applicants 14 failed the test. Develop a 99% confidence interval for the portion of applicants that fail the test. Would it be reasonable to conclude that more than 10% of the applicants are now failing the test? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #348539 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=348539\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> As a condition of employment, Fashion Industries applicants must pass a drug test. Of the last 220 applicants 14 failed the test. Develop a 99% confidence interval for the portion of applicants that fail the test. Would it be reasonable to conclude that more than 10% of the applicants are now failing the test?<BR>\n" );
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document.write( "p-hat = 14/220 = 0.06<BR>\n" );
document.write( "ME = 2.5758*sqrt[0.06*0.94/220] = 0.04<BR>\n" );
document.write( "----<BR>\n" );
document.write( "99% CI: 0.06-0.04 < p < 0.06+0.04<BR>\n" );
document.write( "99% CI: 0.02 < p < 0 10<BR>\n" );
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document.write( "p > 10% is not in the 99% confidence interval.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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