document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1173589>Question 1173589</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please I need help with this problem, i just don't know how to solve it correctly...\r<BR>\n" );
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document.write( "A CBS News poll conducted June 10 and 11, 2006, among a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing (\"getting better,\" \"getting worse\" or \"about the same\"). The results are shown in the table below.\r<BR>\n" );
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document.write( " 	         better  	same	   worse<BR>\n" );
document.write( "Republican	38	       104	     44<BR>\n" );
document.write( "Democrat	12	       87	     137<BR>\n" );
document.write( "none	        21             90            118\r<BR>\n" );
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document.write( "Express your answers as a decimal and round to the nearest 0.001 (in other words, type 0.123, not 12.3% or 0.123456).\r<BR>\n" );
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document.write( "If we randomly select one of the adults who participated in this study, compute:\r<BR>\n" );
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document.write( "P(affiliated with neither party) = \r<BR>\n" );
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document.write( "P(worse) = \r<BR>\n" );
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document.write( "P(worse|affiliated with neither party) = \r<BR>\n" );
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document.write( "P(affiliated with neither party|worse) = \r<BR>\n" );
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document.write( "P(affiliated with neither party and worse) = </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #798851 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=798851\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> make a table such as the one shown below:<BR>\n" );
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document.write( "            republican     democrat     none      total\r\n" );
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document.write( "better         38             12         21        71\r\n" );
document.write( "same           104            87         90        281\r\n" );
document.write( "worse          44             137        118       299\r\n" );
document.write( "total          186            236        229       651\r\n" );
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document.write( "p(worse) is the total number of adults who said worse divided by the total number of adults.<BR>\n" );
document.write( "that would be 299 / 651 = .4592933948 = .459\r<BR>\n" );
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document.write( "p(worse given none) is the total number of adults who were not affiliated with any party and said worse, divided by the total number of adults who were not affiliated with any party.<BR>\n" );
document.write( "that would be 118 / 229 = .5152838428 = .515\r<BR>\n" );
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document.write( "p(none given worse) is the total number of adults who said worse and were not affiliated with any party, divided by the total number of adults who said worse.<BR>\n" );
document.write( "that would be 118 / 299 = .3946488294 = .395\r<BR>\n" );
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document.write( "p(none and worse) is the total number of adults who were not affiliated with any part and, at the same time, said worse, divided by the total number of adults.<BR>\n" );
document.write( "that would be 118 / 651 = .1812596006 = .181\r<BR>\n" );
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document.write( "the formula for p(a given b) is equal to p(a and b) / p(b)\r<BR>\n" );
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document.write( "from the table, .....:\r<BR>\n" );
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document.write( "p(worse and none) = 118 / 651 = .1812596006<BR>\n" );
document.write( "p(none) = 229 / 651 = .3517665131\r<BR>\n" );
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document.write( "formula for p(worse given none) would be:\r<BR>\n" );
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document.write( "p(worse given none) = p(worse and none) / p(none) = .1812596006 / .3517665131 = .5152838428 = .515\r<BR>\n" );
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document.write( "this agrees with what the table showed when you analyzed p(worse given none) as shown below:\r<BR>\n" );
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document.write( "p(worse given none) is the total number of adults who were not affiliated with any party and said worse, divided by the total number of adults who were not affiliated with any party.<BR>\n" );
document.write( "that would be 118 / 229 = .5152838428 = .515\r<BR>\n" );
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document.write( "i'm reasonably sure these are all correct.<BR>\n" );
document.write( "give it a go and let me know how you did.<BR>\n" );
document.write( "if any of these are not correct, let me know and i'll look at them again.<BR>\n" );
document.write( "theo\r<BR>\n" );
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document.write( " </SPAN>\n" );
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