document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1137277>Question 1137277</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose 40% of a student population works part time. If a random sample size of 300 students is drawn from the population, then the probability that 44% or fewer of the samples work part time is: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #755146 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=755146\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> standard deviation of the sample proportion = square root(0.40 * (1-0.40) / 300) = 0.0283<BR>\n" );
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document.write( "The population proportion is 0.40<BR>\n" );
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document.write( "since the sample size is > 30, we can use the Normal distribution<BR>\n" );
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document.write( "z-score = (0.44 - 0.40) / 0.0283 = 1.4134 is approximately 1.41<BR>\n" );
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document.write( "look in z-table to find the probability corresponding to a z-score of 1.41<BR>\n" );
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document.write( "Probability ( X < 0.44 ) = 0.9207 is approximately 0.92<BR>\n" );
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