document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1010286>Question 1010286</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Past surveys reveal that 30% of tourists going to Las Vegas to gamble spend more than $1,000. The Visitor’s Bureau of Las Vegas wants to update this percentage.  I got part a.  I'm struggling with part b.<BR>\n" );
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document.write( "a.	<BR>\n" );
document.write( "The new study is to use the 90% confidence level. The estimate is to be within 1% of the population proportion. What is the necessary sample size? (Round your answer to the next whole number.)<BR>\n" );
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document.write( "Answer:  Sample size	5683<BR>\n" );
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document.write( "b.	<BR>\n" );
document.write( "The Bureau feels the sample size determined above is too large. What can be done to reduce the sample? Based on your suggestion, recalculate the sample size. (Hint: Use an allowable error in the range of 0.01 to 0.05) (Round your answer to the next whole number.)<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 #625727 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=625727\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Checking the first<BR>\n" );
document.write( "z=(phat-p)/sqrt {(0.21)/n}<BR>\n" );
document.write( "z^2*(0.21)=.0001n, squaring everything.<BR>\n" );
document.write( "I agree with a.<BR>\n" );
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document.write( "You can change either the error or the confidence.<BR>\n" );
document.write( "Change the error as suggested to 5%<BR>\n" );
document.write( "z^2*(0.21)=.0025n<BR>\n" );
document.write( "n=228<BR>\n" );
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document.write( "One may use any error in between.  The above is the minimum sample size given the constraints.<BR>\n" );
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