document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=444205>Question 444205</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the P-value for the indicated hypothesis test.\r<BR>\n" );
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document.write( "A manufacturer claims that fewer than 6% of its fax machines are defective. In a random sample of 97 such fax machines, 5% are defective. Find the P-value for a test of the manufacturer's claim. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #306276 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=306276\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the P-value for the indicated hypothesis test. <BR>\n" );
document.write( "A manufacturer claims that fewer than 6% of its fax machines are defective. <BR>\n" );
document.write( "This implies to have a left-tail test.<BR>\n" );
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document.write( "In a random sample of 97 such fax machines, 5% are defective.<BR>\n" );
document.write( "Find the z-value of that sample proportion:<BR>\n" );
document.write( "z(0.05) = (0.05-0.06)/sqrt[0.05*0.95/97] = -0.4520<BR>\n" );
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document.write( "Find the P-value for a test of the manufacturer's claim.<BR>\n" );
document.write( "p-value = P(z < -0.4520) = tcdf(-100,-0.4520 when df = 96) = 0.3262<BR>\n" );
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document.write( "I used a TI-84 to get the p-value<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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