document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1171711>Question 1171711</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Of 288 employees randomly selected from one company, 14.6% of them commute by carpooling. Construct a 90% confidence interval for the true population proportion of all employees who carpool. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #796628 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=796628\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the half-interval iz z(0.95)*sqrt(p*(1-p)/n)<BR>\n" );
document.write( "=1.645* sqrt (0.146*0.854)/288=0.0342<BR>\n" );
document.write( "The 90%CI is (0.114, 0.178)\r<BR>\n" );
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document.write( "This assumes that 14.6% of 288 is an integer, which it almost is. The actual number is 42/288 but it gives the same result except at the thousandth place. </SPAN>\n" );
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