document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=134849>Question 134849</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm an online student, please help.\r<BR>\n" );
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document.write( "A manufacturer claims that at least 99% of all his products meet the minimum government standards. A survey of 500 products revealed ten did not meet the standard.  \r<BR>\n" );
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document.write( "Conduct the 5-step hypothesis test … and answer the following:<BR>\n" );
document.write( "                   What is the null hypothesis?<BR>\n" );
document.write( "                  What is the alternate hypothesis? <BR>\n" );
document.write( "                  What is the critical value if a = .01? <BR>\n" );
document.write( "                  What is the z-statistic? ?<BR>\n" );
document.write( "                  What is your decision ?? Do the products meet the government standards? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #98696 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=98696\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A manufacturer claims that at least 99% of all his products meet the minimum government standards. A survey of 500 products revealed ten did not meet the standard. <BR>\n" );
document.write( "Conduct the 5-step hypothesis test … and answer the following:<BR>\n" );
document.write( "What is the null hypothesis?<BR>\n" );
document.write( "Ho: p = 0.99<BR>\n" );
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document.write( "What is the alternate hypothesis?<BR>\n" );
document.write( "Ha: p > 0.99 (Claim)<BR>\n" );
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document.write( "What is the critical value if a = .01?<BR>\n" );
document.write( "z = 2.326<BR>\n" );
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document.write( "What is the z-statistic? <BR>\n" );
document.write( "p-hat = 490/500 = 0.98<BR>\n" );
document.write( "z(0.98) = (0.98-0.99) = -2.2473<BR>\n" );
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document.write( "What is your decision ?? Do the products meet the government standards?<BR>\n" );
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document.write( "This is a bit confusing.  The stated claim was that the company exceeded<BR>\n" );
document.write( "the government standard; we tested that claim and the conclusion is a <BR>\n" );
document.write( "rejection of Ho. The test gives strong evidence that p is less than 99%.<BR>\n" );
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document.write( "Now we are asked whether the product meets the government standard.  That requires the following testing:<BR>\n" );
document.write( "Ho: p=0.99<BR>\n" );
document.write( "Ha: p<0.99<BR>\n" );
document.write( "This requires a left-tail test.<BR>\n" );
document.write( "Critical value is -2.326<BR>\n" );
document.write( "P-hat is still 0.98<BR>\n" );
document.write( "Test statistic remains - 2.2473<BR>\n" );
document.write( "Conclusion: Since test stat is in the rejection interval below<BR>\n" );
document.write( "the critical value, reject Ho.<BR>\n" );
document.write( "The product does not meet the government standard.<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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