document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=552456>Question 552456</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 20 people were attacked by a disease and only 18 survived .Will you reject the hypothesis that the survival rate,if attacked by this disease,is 85% in favor of the hypothesis that it is more than 5% level?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #360395 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=360395\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 20 people were attacked by a disease and only 18 survived .Will you reject the hypothesis that the survival rate,if attacked by this disease,is 85% in favor of the hypothesis that it is more than 5% level? <BR>\n" );
document.write( "Ho: p = 0.85 (claim)<BR>\n" );
document.write( "Ha: p # 0.85<BR>\n" );
document.write( "----<BR>\n" );
document.write( "p-hat = 18/20 = 0.9<BR>\n" );
document.write( "----<BR>\n" );
document.write( "z(0.9) = (0.9-0.85)/sqrt[0.85*0.15/20] = 0.6282<BR>\n" );
document.write( "----<BR>\n" );
document.write( "p-value = 2*P(z > 0.6262) = 2*0.2656 = 0.53<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Since the p-value is greater than 5%, fail to reject Ho.<BR>\n" );
document.write( "The test results support the claim.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================== </SPAN>\n" );
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