Question 192977: 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 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?
Correct? Regular Cola Diet Cola Row Total
Yes got it right 7 7 14
No got it wrong 12 20 32
Col Total 19 27 46
Answer by stanbon(75887)   (Show Source):
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 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?
Correct? Regular Cola Diet Cola Row Total
Yes got it right 7 7 14
No got it wrong 12 20 32
Col Total 19 27 46
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Run a Chi-Sq Test on the 2 by 2 set of data.
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Ho: Row and Column factors are independent
Ha: They are dependent
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I ran a Chi-Sq Test on the DATA and got the following:
test statistic: Chi-Sq = 0.6277
p-value: 0.4282..
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Since the p-value is greater than 5%, fail to reject Ho.
We cannot deny that the row and column factors are independent.
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Cheers,
Stan H.
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