document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=176048>Question 176048</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780072966930/algebrahomeworkh>Applied Statistics in Business</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please help!\r<BR>\n" );
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document.write( "A consumer agency tested 290 hams, finding that 64 were underweight. (a) Construct a 95 percent confidence interval for the true percent of underweight hams. (b) If the goal is to reduce the incidence of underweight hams to 25 percent or less, does this sample show that the goal is being achieved? (c) Explain how this confidence interval is equivalent to a two-tailed test at &#945; = .05. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #132177 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=132177\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A consumer agency tested 290 hams, finding that 64 were underweight. <BR>\n" );
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document.write( "(a) Construct a 95 percent confidence interval for the true percent of underweight hams. \r<BR>\n" );
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document.write( "p-hat = 64/290 = 0.22<BR>\n" );
document.write( "E = 1.96*sqrt{0.22*0.78/290] = 0.477<BR>\n" );
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document.write( "95% C.I.: 0.22-0.4777 < p < 0.22+0.477<BR>\n" );
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document.write( "(b) If the goal is to reduce the incidence of underweight hams to 25 percent or less, does this sample show that the goal is being achieved? <BR>\n" );
document.write( "No. since there is a range of numbers in the C.I. above 0.25<BR>\n" );
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document.write( "(c) Explain how this confidence interval is equivalent to a two-tailed test at &#945; = .05.<BR>\n" );
document.write( "I'll leave that to you.  Compare the right tail of the C.I. to the<BR>\n" );
document.write( "right tail of the Critical Value of a one-proportion ZTest.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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