document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1169892>Question 1169892</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An article published in the Washington Post claims that 45 percent of all Americans have brown eyes. A random sample of n=76 college students students found 28 who had brown eyes.<BR>\n" );
document.write( "Consider testing\r<BR>\n" );
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document.write( "H0:p=.45<BR>\n" );
document.write( "Ha:p≠.45 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #794814 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=794814\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 28/76=0.368<BR>\n" );
document.write( "z=(0.368-0.45)/sqrt(0.45*0.55/76)<BR>\n" );
document.write( "=-0.082/0.0571<BR>\n" );
document.write( "=-1.43 (rounded)<BR>\n" );
document.write( "the probability z<-1.43 =0.0754 (not rounding) and double it for a two way test, so it is 0.1508.  Insufficient evidence to reject Ho.<BR>\n" );
document.write( "To get the value of the calculator (0.1528), the point estimate above has to be taken to four decimal places and that used in the formula. <BR>\n" );
document.write( "-<BR>\n" );
document.write( "can also do normal approximation<BR>\n" );
document.write( "mean is np=34.2<BR>\n" );
document.write( "variance is np(1-p)=18.81<BR>\n" );
document.write( "sd is sqrt (V)=4.34<BR>\n" );
document.write( "probability get 28 is z< (28-34.2)/4.34 which ix z<1.43 </SPAN>\n" );
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