document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1188626>Question 1188626</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A genetic experiment with peas resulted in one sample of offspring that consisted of  445 green peas and 158 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.<BR>\n" );
document.write( "enter your response here <p<<BR>\n" );
document.write( "enter your response here ​(Round to three decimal places as​ needed.)<BR>\n" );
document.write( "b. Given that the percentage of offspring yellow peas is not​ 25%, do the results contradict​ expectations?\r<BR>\n" );
document.write( "\n" );
document.write( "​No, the confidence interval includes​ 0.25, so the true percentage could easily equal​ 25%<BR>\n" );
document.write( "​Yes, the confidence interval does not include​ 0.25, so the true percentage could not equal​ 25% </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #819826 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=819826\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> yellow point estimate is 158/603=0.262<BR>\n" );
document.write( "half-interval for 90% CI is z(0.95)*sqrt(0.262*0.738/603)<BR>\n" );
document.write( "=1.645*0.0179<BR>\n" );
document.write( "=0.0295<BR>\n" );
document.write( "The interval is [0.233, 0.291]<BR>\n" );
document.write( "since 0.25 is included in the interval, the true proportion could be 0.25 (percentage=25%).The results do not contradict expectations. </SPAN>\n" );
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