document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1083822>Question 1083822</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A lab for manager claims that faulty readings on piece equipment are generated about 10% of the time ,but a researcher believes it to be higher.a random sample  of 400 records contains 60 error                                              -what is evidence do you have at the 0.05 level significance to support the lab manager is statement or otherwise?                                        -A further random sample of the same size ,45 errors .what would your conclusion have been on basis of this sample </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #697955 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=697955\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A lab for manager claims that faulty readings on piece equipment are generated about 10% of the time ,but a researcher believes it to be higher.a random sample of 400 records contains 60 error -what is evidence do you have at the 0.05 level significance to support the lab manager is statement or otherwise? -<BR>\n" );
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document.write( "Ho: p <= 0.10<BR>\n" );
document.write( "Ha: p > 0.10 (claim)<BR>\n" );
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document.write( "p-hat = 60/400 = 6/40 = 0.15<BR>\n" );
document.write( "z(0.15) = (0.15-0.10)/sqrt(0.15*0.85/400) = 2.8<BR>\n" );
document.write( "Using P-value criteria.<BR>\n" );
document.write( "P-value = P(z > 2.8) = normalcdf(2.8,100) = 0.003<BR>\n" );
document.write( "Conclusion:: Since the P-value is less than 5%, reject Ho.<BR>\n" );
document.write( "Test results support the claim.<BR>\n" );
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document.write( "A further random sample of the same size 45 errors .what would your conclusion have been on basis of this sample<BR>\n" );
document.write( "p-hat = 45/400 = 0.11<BR>\n" );
document.write( "z(0.11) = (0.11-0.10)/sqrt(0.11*0.89/400) = 0.64<BR>\n" );
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document.write( "P-value = P(z > 0.64) = normalcdf(0.64,100) = 0.26<BR>\n" );
document.write( "Conclusion:: Sine the P-value is greater than 5%, fail to reject Ho.<BR>\n" );
document.write( "Test results do no support the claim.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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