document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=875124>Question 875124</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a sample of 88 children selected randomly from on town, it is found that 8 of them suffer from asthma. Find the p-value for a test of the claim that the proportion of children with asthma is equal to 11% </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #527980 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=527980\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The alternative hypothesis is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+%3C%3E+0.11 ALIGN=MIDDLE  ALT=\"p+%3C%3E+0.11\"   DISABLED_style= \"max-width:90%; height:auto;\" > so this is two tailed test.\r<BR>\n" );
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document.write( "Given Info\r<BR>\n" );
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document.write( "p = 0.11<BR>\n" );
document.write( "phat = 8/88 = 1/11 = 0.0909 (roughly)<BR>\n" );
document.write( "n = 88\r<BR>\n" );
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document.write( "Test Statistic\r<BR>\n" );
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document.write( "z = (phat - p)/(sqrt(p*(1-p)/n))<BR>\n" );
document.write( "z = (0.0909 - 0.11)/(sqrt(0.11*(1-0.11)/88))<BR>\n" );
document.write( "z = -0.57264221039283<BR>\n" );
document.write( "z = -0.57\r<BR>\n" );
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document.write( "Now use a <a  rel=nofollow HREF=\"http://www.math.upenn.edu/~chhays/zscoretable.pdf\">table</a> to find the area to the left of z = -0.57\r<BR>\n" );
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document.write( "The area to the left of z = -0.57 is 0.2843\r<BR>\n" );
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document.write( "Double this to get 2*0.2843 = 0.5686 (remember this is a two tailed test)\r<BR>\n" );
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document.write( "The p value is <font color=\"red\">0.5686</font>\r<BR>\n" );
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document.write( "Side Note: this very large p value would result in failing to reject the null hypothesis for many standard significance (alpha) values. </SPAN>\n" );
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