document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=974947>Question 974947</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A large population based study estimated that 65% of Australian children regular eat fruit<BR>\n" );
document.write( "In a random sample of 70 Australian children, what is the probability of at least 50 regularly eat fruit?<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 #596752 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=596752\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mean is 65%\r<BR>\n" );
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document.write( "1 sample proportion z-test; <BR>\n" );
document.write( "phat-0.65/sqrt[[(0.65)*(0.35)/70}; phat = 0.714<BR>\n" );
document.write( "z=(0.714-0.65)/.0570<BR>\n" );
document.write( "z=+1.123  the probability that 50 or LESS will.  This is 0.870<BR>\n" );
document.write( "The probability that at least 50 will is 0.130.\r<BR>\n" );
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document.write( "This makes intuitive sense.  The expected value if 45.5, so the likelihood of at least 50 in a sample will is less than half. </SPAN>\n" );
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