document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1200237>Question 1200237</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 76 people in the 18-21 age bracket and finds that 65 of them respond and 11 refuse to respond. When 296 people in the 22-29 age bracket are contacted, 263 respond and 33 refuse to respond. Assume that 1 of the 372 people is randomly selected. Find the probability of getting someone in the 18-21 age bracket or someone who responds.\r<BR>\n" );
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document.write( "Report the answer as a percent rounded to one decimal place accuracy. You need not enter the \"%\" symbol.\r<BR>\n" );
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document.write( "P(18-21 or responds) = <BR>\n" );
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document.write( "(Hint: It might be helpful to organize the data into a table first.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #834308 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</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=834308\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "This is one way to write out the data table.<BR>\n" );
document.write( "<TABLE  border = \"1\" cellpadding = \"5\">\n" );
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document.write( "<tr><TD ></TD><TD >Age 18-21</TD><TD >Age 22-29</TD><TD >Total</TD></tr>\r\n" );
document.write( "<tr><TD >Responds</TD><TD >65</TD><TD >263</TD><TD >328</TD></tr>\r\n" );
document.write( "<tr><TD >Refuse to Respond</TD><TD >11</TD><TD >33</TD><TD >44</TD></tr>\r\n" );
document.write( "<tr><TD >Total</TD><TD >76</TD><TD >296</TD><TD >372</TD></tr>\r\n" );
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document.write( "Define these events:<BR>\n" );
document.write( "A = person is in the 18-21 age bracket<BR>\n" );
document.write( "B = person responds\r<BR>\n" );
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document.write( "n(A) = number of people in the 18-21 age bracket<BR>\n" );
document.write( "n(A) = 76<BR>\n" );
document.write( "n(B) = 328<BR>\n" );
document.write( "n(A and B) = 65<BR>\n" );
document.write( "These values are found in the table above.\r<BR>\n" );
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document.write( "Use those values to compute the following.<BR>\n" );
document.write( "n(A or B) = n(A) + n(B) - n(A and B)<BR>\n" );
document.write( "n(A or B) = 76 + 328 - 65<BR>\n" );
document.write( "n(A or B) = 339<BR>\n" );
document.write( "There are 339 individuals who are either in the 18-21 age bracket, have responded, or both.\r<BR>\n" );
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document.write( "P(A or B) = n(A or B)/n(total)<BR>\n" );
document.write( "P(A or B) = 339/372<BR>\n" );
document.write( "P(A or B) = 0.911290322580645 approximately<BR>\n" );
document.write( "P(A or B) = 0.911<BR>\n" );
document.write( "P(A or B) = 91.1%\r<BR>\n" );
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document.write( "Answer: <font color=red size=4>91.1%</font><BR>\n" );
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