document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1172433>Question 1172433</A>: <I><SPAN STYLE=\"word-break: break-all;\"> According to a recent poll for two countries Z and​ Y, the percentage of workers in country Z that are engaged with their workplace is more than twice as high as the percentage of workers in country Y that are engaged with their workplace. Use the results from the​ poll, which are summarized in the​ table, to answer​ (a) through​ (d) below<BR>\n" );
document.write( "	country Z	country Y	Total<BR>\n" );
document.write( "Engaged	743	116	859<BR>\n" );
document.write( "Not Engaged	1,297	1,924	3,221<BR>\n" );
document.write( "Total	2,040	2,040	4,080\r<BR>\n" );
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document.write( "Given that a worker is from country​ Z, what is the probability that the worker is​ engaged?\r<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 #797459 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3835)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=797459\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
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document.write( "<tr><TD ></TD><TD >Country Z</TD><TD >Country Y</TD><TD >Total</TD></tr><tr><TD >Engaged</TD><TD >743</TD><TD >116</TD><TD >859</TD></tr><tr><TD >Not Engaged</TD><TD >1297</TD><TD >1924</TD><TD >3221</TD></tr><tr><TD >Total</TD><TD >2040</TD><TD >2040</TD><TD >4080</TD></tr>\n" );
document.write( "</TABLE>Focus on the \"country Z\" column only since we know 100% the person is from there. This is due to the specific phrasing of \"Given that a worker is from country​ Z\".\r<BR>\n" );
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document.write( "There are 743 engaged people from country Z, out of 2040 people total from country Z.\r<BR>\n" );
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document.write( "Dividing the values leads to<BR>\n" );
document.write( "743/2040 = 0.3642<BR>\n" );
document.write( "The value is approximate to four decimal places\r<BR>\n" );
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document.write( "<font color=red>Answer: Roughly 0.3642</font></font>\r<BR>\n" );
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