document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1005956>Question 1005956</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A survey of 1,000 men and women asked, \"Do you earn over $50,000 per year?\" The table below shows the responses for males and females:\r<BR>\n" );
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document.write( " Male Female Total <BR>\n" );
document.write( "Income over $50,000 485 385 870 <BR>\n" );
document.write( "Income below $50,000 65 65 130 <BR>\n" );
document.write( "Total 550 450 1,000 \r<BR>\n" );
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document.write( "Based on these data, are \"being male\" and \"earning over $50,000\" independent events? (5 points)<BR>\n" );
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document.write( " Yes, P(being male | the person earns over $50,000) &#8800; P(being male) <BR>\n" );
document.write( " Yes, P(being male | the person earns over $50,000) = P(being male) <BR>\n" );
document.write( " No, P(being male | the person earns over $50,000) &#8800; P(being male) <BR>\n" );
document.write( " No, P(being male | the person earns over $50,000) = P(being male) <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 #622189 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=622189\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Table of values (given)\r<BR>\n" );
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document.write( "<tr><th></th><th>Male</th><th>Female</th><th>Total</th></tr><tr><th>Income over $50,000</th><TD >485</TD><TD >385</TD><TD >870</TD></tr><tr><th>Income below $50,000</th><TD >65</TD><TD >65</TD><TD >130</TD></tr><tr><th>Total</th><TD >550</TD><TD >450</TD><TD >1000</TD></tr>\n" );
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document.write( "Let's calculate P(being male | the person earns over $50,000)\r<BR>\n" );
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document.write( "P(being male | the person earns over $50,000) = (# of males who earn over $50,000)/(# of people who earn over $50,000)\r<BR>\n" );
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document.write( "P(being male | the person earns over $50,000) = (485)/(870)\r<BR>\n" );
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document.write( "P(being male | the person earns over $50,000) = 0.55747126436781\r<BR>\n" );
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document.write( "Let's calculate P(being male) \r<BR>\n" );
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document.write( "P(being male) = (# of males)/(# of people)\r<BR>\n" );
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document.write( "P(being male) = (550)/(1000)\r<BR>\n" );
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document.write( "P(being male) = 0.55\r<BR>\n" );
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document.write( "Summary so far:\r<BR>\n" );
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document.write( "P(being male | the person earns over $50,000) = 0.55747126436781<BR>\n" );
document.write( "P(being male) = 0.55\r<BR>\n" );
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document.write( "We see that P(being male | the person earns over $50,000) &#8800; P(being male)\r<BR>\n" );
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document.write( "So the two events are NOT independent. If they were independent, then the probabilities above would be equal.\r<BR>\n" );
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document.write( "Final Answer: <font color=red>Choice C)  No, P(being male | the person earns over $50,000) &#8800; P(being male) </font> </SPAN>\n" );
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