document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1078116>Question 1078116</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A genetic experiment with peas resulted in one sample of offspring that consisted of 403 green peas and 159 yellow peas.<BR>\n" );
document.write( "Construct a 95&#8203;% confidence interval to estimate of the percentage of yellow peas.<BR>\n" );
document.write( "It was expected that&#8203; 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not&#8203; 25%, do the results contradict&#8203; expectations? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #692741 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=692741\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a one sample proportion CI with point estimate of 0.2823<BR>\n" );
document.write( "95% interval is difference from postulated 1.96 +/- sqrt (p*(1-p))/n<BR>\n" );
document.write( "or the CI of the difference 0.033 +/- 1.96* sqrt (.25*75/562); sqrt term is 0.0183<BR>\n" );
document.write( "interval is 0.03587<BR>\n" );
document.write( "(-0.0028, 0.0688)is CI of difference and contains 0.<BR>\n" );
document.write( "CI of the proportion is (0.2464, 0.3182)<BR>\n" );
document.write( "The CI contains the parameter of 0.25, so there is no contradiction.<BR>\n" );
document.write( " </SPAN>\n" );
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