document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=188257>Question 188257</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072966939/algebrahomeworkh>Applied Statistics in Business and Economics</A><BR>\n" );
document.write( ": <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 773 kernels and put them in a popper. After popping, the unpopped kernels were counted. There were 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" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #141134 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=141134\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Biting an unpopped kernel of popcorn hurts! <BR>\n" );
document.write( "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" );
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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" );
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document.write( "sample mean = 86/773 = 0.1113<BR>\n" );
document.write( "E = 1.645*sqrt[0.1113*0.8887/773] = 0.0186<BR>\n" );
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document.write( "90% C.I.:  0.1113-0.0186 < p < 0.1113+0.0186<BR>\n" );
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document.write( "(b) Check the normality assumption. <BR>\n" );
document.write( "I'll leave that to you<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'm not sure what the Quick Rule is.<BR>\n" );
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document.write( "(d) Why might this sample not be typical?<BR>\n" );
document.write( "It's only one person's bag of popcorn.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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