document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=438470>Question 438470</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help....I've been trying to figure this problem out all afternoon and I have reached my limit.\r<BR>\n" );
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document.write( "The National Council of Small Businesses is interested in the proportion of small businesses that declared Chapter 11 bankruptcy in a certain year.  Let p be the proportion of small businesses that declared Chapter 11 bankruptcy.  \r<BR>\n" );
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document.write( "a.	If no preliminary sample is taken, how large a sample is needed to be 95% sure that sample proportion will be within 10% of p?\r<BR>\n" );
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document.write( "b.	In a preliminary random sample of 38 businesses, it was found that six had declared Chapter 11.  How many more small businesses should be included to be 95% sure that the sample proportion is within 10% of p?<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 #303283 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=303283\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Chapter 11 bankruptcy in a certain year. Let p be the proportion of small businesses that declared Chapter 11 bankruptcy.<BR>\n" );
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document.write( "a. If no preliminary sample is taken, how large a sample is needed to be 95% sure that sample proportion will be within 10% of p?<BR>\n" );
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document.write( "Since E = z*sqrt(pq/n)<BR>\n" );
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document.write( "sqrt(n) = z*sqrt(pq)/E<BR>\n" );
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document.write( "n = [z/E]^2(pq)<BR>\n" );
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document.write( "Your Problem:<BR>\n" );
document.write( "n = [1.96/0.10]^2 </SPAN>\n" );
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