document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=575366>Question 575366</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company’s CEO wanted to estimate the percentage of defective product per shipment. In a sample containing 600 products, he found 45 defective products. \r<BR>\n" );
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document.write( "(a) Find a 99% confidence interval for the true proportion of defective product. Show your calculations and/or explain the process used to obtain the interval.<BR>\n" );
document.write( "(b) Interpret this confidence interval and write a sentence that explains it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #369454 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=369454\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A company’s CEO wanted to estimate the percentage of defective product per shipment. In a sample containing 600 products, he found 45 defective products. \r<BR>\n" );
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document.write( "(a) Find a 99% confidence interval for the true proportion of defective product. Show your calculations and/or explain the process used to obtain the interval.<BR>\n" );
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document.write( "p-hat = 45/600 = 0.075<BR>\n" );
document.write( "ME = 2.5758*sqrt[0.075*0.9250/600] = 0.0277<BR>\n" );
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document.write( "99%CI: 0.075-0.0277 < p < 0.075+0.0277<BR>\n" );
document.write( "99%CI: 0.0473 < p < 0.1027<BR>\n" );
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document.write( "(b) Interpret this confidence interval and write a sentence that explains it.<BR>\n" );
document.write( "We can have 99% confidence that p is between 0.0473 and 0.1027<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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