document.write( "Question 131000This question is from textbook Applied Statistics in Business and Economics
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document.write( ": 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 α = .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
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document.write( "z test for π1 = π2 (see Chapter 10) and verify that z2 is the same as your chi-square statistic.Which test do you prefer? Why?
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document.write( "Yes got it right - 7, 7, 14
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document.write( "no got it wrong - 12, 20, 32
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document.write( "total - 19, 27, 46 \n" );
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Algebra.Com's Answer #95746 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 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 α = .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 \n" ); document.write( "z test for π1 = π2 (see Chapter 10) and verify that z2 is the same as your chi-square statistic.Which test do you prefer? Why? \n" ); document.write( "Yes got it right - 7, 7, 14 \n" ); document.write( "no got it wrong - 12, 20, 32 \n" ); document.write( "total - 19, 27, 46 \n" ); document.write( "----------------- \n" ); document.write( "Chi-Sq Test: \n" ); document.write( "Ho: the columns are homogeneous \n" ); document.write( "Ha; the columns are not homogeneous \n" ); document.write( "Using a TI-calculator Chi-Sq Test I get: \n" ); document.write( "Test statistic: Chi-Sq = 0.62768.... \n" ); document.write( "p-value = 0.428.. \n" ); document.write( "-------- \n" ); document.write( "Conclusion: Reject Ho; \n" ); document.write( "The columns are not homogeneous \n" ); document.write( "======================================= \n" ); document.write( "Two-tailed sample z test: \n" ); document.write( "Ho: mu1 = mu2 \n" ); document.write( "Ha: mu1 is not equal to mu2 \n" ); document.write( "Critical value for 2-tailed test and alpha=5%: +-1.96 \n" ); document.write( "-------- \n" ); document.write( "x1-bar = 19/2= 9.5 \n" ); document.write( "x2-bar = 27/2= 13.5 \n" ); document.write( "sigma1^2 =7.77817^2 = 60.5 \n" ); document.write( "n1=19 \n" ); document.write( "sigma2^2 =9.1924^2=84.5 \n" ); document.write( "n2=27 \n" ); document.write( "--------------- \n" ); document.write( "z(9.5-13.5)/sqrt[(60.5/19) + (84.5)/27] = -1.59 \n" ); document.write( "p-value = 2P(-10 < z <-1.59) = 0.1118... \n" ); document.write( "-------- \n" ); document.write( "Conclusion: Since p-value > alpha, Fail to Reject Ho. \n" ); document.write( "The columns are homogeneous. \n" ); document.write( "----------------------------- \n" ); document.write( "As you see, the test results are not the same. \n" ); document.write( "I'll leave the discussion of the final questions to you. \n" ); document.write( "----------------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |