document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=531746>Question 531746</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a hospital’s shipment of 2,880 insulin syringes, 14 were unusable due to defects. (a) At &#945; = .05,<BR>\n" );
document.write( "is this sufficient evidence to reject future shipments from this supplier if the hospital’s quality<BR>\n" );
document.write( "standard requires 99.7 percent of the syringes to be acceptable? State the hypotheses and decision<BR>\n" );
document.write( "rule.(d) Find the p-value.\r<BR>\n" );
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document.write( "I have tried to work on this problem and this is what I got as the answer -16.98797045<BR>\n" );
document.write( "please help me. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #350599 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=350599\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a hospital’s shipment of 2,880 insulin syringes, 14 were unusable due to defects.<BR>\n" );
document.write( "p-hat = 2866/2880 = 0.995<BR>\n" );
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document.write( "(a) At &#945; = .05, is this sufficient evidence to reject future shipments from this supplier if the hospital’s quality standard requires 99.7 percent of the syringes to be acceptable?<BR>\n" );
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document.write( "(b)State the hypotheses and decision rule.<BR>\n" );
document.write( "Ho: p = 0.997<BR>\n" );
document.write( "Ha: p < 0.997 (evidence to reject supplier)<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "test statistic:: z(0.995) = (0.995-0.997)/sqrt[0.997*0.003/2880] = -1.9625<BR>\n" );
document.write( "Decision rule: Reject Ho is ts< -1.645<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "(d) Find the p-value.<BR>\n" );
document.write( "p-value = P(z<1.9625) = 0.0249\r<BR>\n" );
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document.write( "====================<BR>\n" );
document.write( "Conclusion:<BR>\n" );
document.write( "Since the p-value is less than 5%, reject Ho.<BR>\n" );
document.write( "The test results support rejecting the supplier.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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