document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=428135>Question 428135</A>: <I><SPAN STYLE=\"word-break: break-all;\"> : Biting   an unpopped kernel of popcorn hurts! As an experiment, a self-confessed connoisseur of cheap popcorn carefully counted 739 kernels and put them in a popper. After popping, the unpopped kernels were counted. There were   82.<BR>\n" );
document.write( "(a)	Construct a 95 %  confidence interval for the proportion of all kernels that would not pop. <BR>\n" );
document.write( "(b)	Check   the normality assumption.<BR>\n" );
document.write( "(c)	Try the Very Quick Rule. Does it work well here?  Why or why not?<BR>\n" );
document.write( "(d)	Why might this sample not be typical?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #297648 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=297648\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Biting an unpopped kernel of popcorn hurts! As an experiment, a self-confessed connoisseur of cheap popcorn carefully counted 739 kernels and put them in a popper. After popping, the unpopped kernels were counted. There were 82.<BR>\n" );
document.write( "(a) Construct a 95 % confidence interval for the proportion of all kernels that would not pop. <BR>\n" );
document.write( "(b) Check the normality assumption.<BR>\n" );
document.write( "(c) Try the Very Quick Rule. Does it work well here? Why or why not?<BR>\n" );
document.write( "(d) Why might this sample not be typical?\r<BR>\n" );
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document.write( "Biting an unpopped kernel of popcorn hurts! As an experiment, a self-confessed connoisseur of cheap popcorn carefully counted 773 kernels and put them in a popper. After popping, the unpopped kernels were counted. There were 86. <BR>\n" );
document.write( "(a) Construct a 90 percent confidence interval for the proportion of all kernels that would not pop.<BR>\n" );
document.write( "E = z*(p-hat/sqrt(n))<BR>\n" );
document.write( "E = 1.645*sqrt[(86/773)(687/773)/773) = 0.01131<BR>\n" );
document.write( "90% C.I. = ((86/773)-0.01131 , (86/773)+0.01131)<BR>\n" );
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document.write( "(b) Check the normality assumption.\r<BR>\n" );
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document.write( "pn= (86/773)773>5; nq=(687/773)773>5<BR>\n" );
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document.write( "(c) Try the Very Quick Rule. Does it work well here? Why, or why not? <BR>\n" );
document.write( "(d) Why might this sample not be typical? <BR>\n" );
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document.write( "Comment: Hopefully you know what \"c\" and \"d\" are all about.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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