document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=587941>Question 587941</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A supplier of components to an electronic industry makes a sophisticated product which sometimes fails immediately it is used. He controls his manufacturing process so that the proportion of faulty products is supposed to be only 5%. Out of 400 supplies in a batch, 26 prove to be faulty. Verify the manufacturer’s claim. Use 0.05 level of significance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #374329 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=374329\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the proportion of faulty products is supposed to be only 5%. Out of 400 supplies in a batch, 26 prove to be faulty. Verify the manufacturer’s claim. Use 0.05 level of significance.<BR>\n" );
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document.write( "Ho: p = 0.05<BR>\n" );
document.write( "Ha: p # 0.05<BR>\n" );
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document.write( "p-hat = 26/400 = 0.0650<BR>\n" );
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document.write( "z(0.0650) = (0.0650-0.05)/sqrt(0.05*0.95/400) = 1.3765<BR>\n" );
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document.write( "p-value = 2*P(z>1.3765) = 0.1687<BR>\n" );
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document.write( "Since the p-value is greater than 5%, fail to reject Ho<BR>\n" );
document.write( "at the 5% level of significance.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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