document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1132704>Question 1132704</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A genetic experiment with peas resulted in one sample of offspring that consisted of 420 green peas and 159 yellow peas.<BR>\n" );
document.write( "a. Construct a 90​% confidence interval to estimate of the percentage of yellow peas.<BR>\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?<BR>\n" );
document.write( "a. Construct a 90​% confidence interval. Express the percentages in decimal form.\r<BR>\n" );
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document.write( "_ <p <_<BR>\n" );
document.write( "nothing ​(Round to three decimal places as​ needed.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #749823 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=749823\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 90% half-interval is z*sqrt(p*(1-p)/n) where z=1.645 and p is the point estimate of yellow or 159/579=0.275<BR>\n" );
document.write( "half-interval is 1.645* sqrt (0.275*0.725/579)=0.0301<BR>\n" );
document.write( "Therefore, the full interval is 0.275+/-1.645* sqrt (0.275*0.725/579)<BR>\n" );
document.write( "the interval is (0.245, 0.305)<BR>\n" );
document.write( "because 0.25 is within the confidence interval, the results to not contradict expectations. </SPAN>\n" );
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