document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=192977>Question 192977</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can people really identify their favorite brand of cola? Volunteers tasted Coca-Cola Classic, Pepsi, Diet Coke, and Diet Pepsi, with the results shown below. Research question: At &#945; = .05, is the correctness of the prediction different for the two types of cola drinkers? Could you identify your favorite brand in this kind of test? Since it is a 2 × 2 table, try also a two-tailed two-sample z test for &#960;1 = &#960;2 (see Chapter 10) and verify that z2 is the same as your chi-square statistic.Which<BR>\n" );
document.write( "test do you prefer? Why?\r<BR>\n" );
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document.write( "Correct?                            Regular Cola           Diet Cola           Row Total<BR>\n" );
document.write( "Yes got it right                          7                             7                        14<BR>\n" );
document.write( "No got it wrong                        12                           20                       32<BR>\n" );
document.write( "Col Total                                  19	                          27	                    46			<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 #144846 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=144846\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ): Can people really identify their favorite brand of cola? Volunteers tasted Coca-Cola Classic, Pepsi, Diet Coke, and Diet Pepsi, with the results shown below. Research question: At &#945; = .05, is the correctness of the prediction different for the two types of cola drinkers? Could you identify your favorite brand in this kind of test? Since it is a 2 × 2 table, try also a two-tailed two-sample z test for &#960;1 = &#960;2 (see Chapter 10) and verify that z2 is the same as your chi-square statistic.Which<BR>\n" );
document.write( "test do you prefer? Why? <BR>\n" );
document.write( "Correct? Regular Cola Diet Cola Row Total<BR>\n" );
document.write( "Yes got it right 7 7 14<BR>\n" );
document.write( "No got it wrong 12 20 32<BR>\n" );
document.write( "Col Total 19 27 46 <BR>\n" );
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document.write( "Run a Chi-Sq Test on the 2 by 2 set of data.<BR>\n" );
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document.write( "Ho: Row and Column factors are independent<BR>\n" );
document.write( "Ha: They are dependent<BR>\n" );
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document.write( "I ran a Chi-Sq Test on the DATA and got the following:<BR>\n" );
document.write( "test statistic: Chi-Sq = 0.6277<BR>\n" );
document.write( "p-value: 0.4282..<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Since the p-value is greater than 5%, fail to reject Ho.<BR>\n" );
document.write( "We cannot deny that the row and column factors are independent.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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