document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201155>Question 1201155</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, please i need assistant in solving this question<BR>\n" );
document.write( "A survey found that 78% of the men questioned preferred computer-assisted instruction to lecture and 68% of the women preferred computer-assisted instruction to lecture. There were 100 randomly selected individuals in each sample. Find the 95% confidence interval for the difference of the two proportions. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #837567 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=837567\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> men p = .78<BR>\n" );
document.write( "women  p = .68<BR>\n" );
document.write( "sample size for men and women the same at 100.<BR>\n" );
document.write( "pooled proportion is (78 + 68) / (100 + 100) = .73<BR>\n" );
document.write( "pooled standard error = sqrt(.73*.27*(1/100 + 1/100)) = .0627853486.<BR>\n" );
document.write( "z-score = (.78 - .68) / .0627853486 = 1.59 rounded to 2 decimal places.<BR>\n" );
document.write( "critical z-score is plus or minus 1.96.<BR>\n" );
document.write( "test z-score in between those critical z-scores, so the resuls are not significant and you do not have any information to say that the men proportion and the women proportion are not the same.<BR>\n" );
document.write( "this means that the observed difference is most likely due to variations in the mean of samples taken rather than any real difference.\r<BR>\n" );
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document.write( "i used a calculator and go the same results, so the results are accurate, given the assumption of pooled variance.<BR>\n" );
document.write( "here's the results from the calculator at <a  rel=nofollow HREF= \"https://www.socscistatistics.com/tests/ztest/default2.aspx\" target = \"_blank\">https://www.socscistatistics.com/tests/ztest/default2.aspx</a>\r<BR>\n" );
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