document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198408>Question 1198408</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A researcher claims that 15% of children suffer from chronic ear infections. A sample of 100 children was taken and it was found that 18% of the children suffer from chronic ear infections. Test at the 1% significance level if the proportion of children that suffer from a chronic ear infection is different from 15%. What is the p-value? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832004 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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/cgi-bin/show-face.mpl?user=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=832004\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho: p = .15<BR>\n" );
document.write( "Ha: p ≠ .15<BR>\n" );
document.write( "two-tailed<BR>\n" );
document.write( "Sample: n = 100, x̄ = .18, <BR>\n" );
document.write( ".01 significance level\r<BR>\n" );
document.write( "\n" );
document.write( "z = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=blue+%28.18+-.15%29%2Fsqrt%28blue%28%28.15%29%28.85%29%2F100%29%29 ALIGN=MIDDLE  ALT=\"z+=blue+%28.18+-.15%29%2Fsqrt%28blue%28%28.15%29%28.85%29%2F100%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -.84<BR>\n" );
document.write( "p = .2<BR>\n" );
document.write( " .2 > .01, Fail to reject Ho. <BR>\n" );
document.write( "Evidence not sufficient to support p ≠ .15 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );