document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1162761>Question 1162761</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A random sample of size n = 62 is taken from a population of size N = 660 with a population proportion p = 0.63. [You may find it useful to reference the z table.]\r<BR>\n" );
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document.write( "a-1. Is it necessary to apply the finite population correction factor?\r<BR>\n" );
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document.write( "    Yes<BR>\n" );
document.write( "    No\r<BR>\n" );
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document.write( "a-2. Calculate the expected value and the standard error of the sample proportion. (Round \"expected value\" to 2 decimal places and \"standard error\" to 4 decimal places.)\r<BR>\n" );
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document.write( "b. What is the probability that the sample proportion is less than 0.55? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.)\r<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 #786604 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=786604\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Yes, because 62 is more than 5% of 660.<BR>\n" );
document.write( "E(X)=0.63<BR>\n" );
document.write( "SE=SE prop.*fpc<BR>\n" );
document.write( "=sqrt(0.63.*0.37/660) then *sqrt (598/660)=0.0179\r<BR>\n" );
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document.write( "z=(0.55-0.63)/0.0179)<BR>\n" );
document.write( "=-4.47<BR>\n" );
document.write( "probability=0.00001\r<BR>\n" );
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document.write( "The calculator will give a higher probability of 0.00001 but without doing the FPC.<BR>\n" );
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