document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1029927>Question 1029927</A>: <I><SPAN STYLE=\"word-break: break-all;\"> During a period of 11 years 1908 of the people selected for grand jury duty were&#8203; sampled, and 42% of them were immigrants. Use the sample data to construct a&#8203; 99% confidence interval estimate of the proportion of grand jury members who were immigrants. Given that among the people eligible for jury&#8203; duty, 43.5&#8203;% of them were&#8203; immigrants, does it appear that the jury selection process was somehow biased against&#8203; immigrants? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #644838 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=644838\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I will make it a 2 way test.<BR>\n" );
document.write( "Ho: The true proportion is 0.435<BR>\n" );
document.write( "Ha: The true proportion is not 0.435,<BR>\n" );
document.write( "alpha=0.01<BR>\n" );
document.write( "the confidence interval is from a 1-sample proportion test<BR>\n" );
document.write( "z(0.995)*sqrt {(0.435)(0.565)/1908}; z=2.576; the standard error is 0.0113<BR>\n" );
document.write( "z*SE=0.0292<BR>\n" );
document.write( "99% CI=(0.391,0.449).  The value of 0.42 is in the interval, so the null hypothesis is not rejected. There is insufficient evidence to support the claim that there was bias. </SPAN>\n" );
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