document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1155760>Question 1155760</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A genetic experiment with peas resulted in one sample of offspring that consisted of 439 green peas and 157 yellow peas.<BR>\n" );
document.write( " <BR>\n" );
document.write( "a. Construct a 95​% confidence interval to estimate of the percentage of yellow peas.\r<BR>\n" );
document.write( "\n" );
document.write( "b. It was expected that​ 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not​ 25%, do the results contradict​ expectations? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #778404 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=778404\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> half-interval is sample mean +/- 1.96*sqrt(p*(1-p)/n)<BR>\n" );
document.write( "x bar is (157/596)=0.263<BR>\n" );
document.write( "sqrt(.263*.737)=sqrt (0.000325)=0.0180<BR>\n" );
document.write( "half-interval is 0.035<BR>\n" );
document.write( "95%CI is (0.228, 0.298)<BR>\n" );
document.write( "Since 0.25 is in the interval the results do not contradict expectations. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );