document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=129135>Question 129135</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having some problems with this problem...\r<BR>\n" );
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document.write( "Biting an unpopped kernel of popcorn hurts! As an experiemnt, 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 are 86.\r<BR>\n" );
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document.write( "(a) Construct a 90 percent 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 #94402 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=94402\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 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 are 86. <BR>\n" );
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document.write( "p-hat = 86/773=0.1113<BR>\n" );
document.write( "std = sqrt[0.1113*0.8887/773]= 0.113<BR>\n" );
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document.write( "(a) Construct a 90 percent confidence interval for the proportion of all kernels that would not pop.<BR>\n" );
document.write( "E = 1.645*0.0113 = 0.0186<BR>\n" );
document.write( "C.I.: (p-hat-E , p-hat+E) or (0.0927 , 0.1299)<BR>\n" );
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document.write( "(b) Check the normality assumption.<BR>\n" );
document.write( "Check pn>5 and qn>5<BR>\n" );
document.write( "0.1113*773 = 86-plus ; q*p-hat is even larger<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( "I am not familiar with that Rule.<BR>\n" );
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document.write( "(d) Why might this sample not be typical?<BR>\n" );
document.write( "Since the C.I. is a statement about the whole population of popcorn<BR>\n" );
document.write( "kernnels, the sample here might not be representative.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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