SOLUTION: 15.28 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 questio

Question 134428: 15.28 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 a = .05, is the correctness of the prediction different for the two types of cola drinkers? Since it is a 2 x 2 table, try also a two-tailed two-sample z test for π1 = π2 and verify that z� is the same as your chi-square statistic.
Correct? Regular Diet Row Total
Yes 7 7 14
No 12 20 32
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 a = .05, is the correctness of the prediction different for the two types of cola drinkers? Since it is a 2 x 2 table, try also a two-tailed two-sample z test for π1 = π2 and verify that z� is the same as your chi-square statistic.
Correct? Regular Diet Row Total
Yes....... 7..... 7..... 14
No....... 12.... 20..... 32
Total.... 19.... 27..... 46
-----------------------------
Ho: mu1=mu2
Ha: mu1 is not equal to mu2
-------------
Chi-Sq:
Test statistic: Chi-Sq = 0.62768...
p-value: 0.4282
df=1
---------
Conclusion: Fail to reject Ho because p-value > alpha.
-------------------------------------
2-Sample z-Test
Test statistic: z=-1.4486
p-value: 0.14746...
Conclusion: Fail to reject Ho because p-value > alpha.
===================================
Cheers,
Stan H.

RELATED QUESTIONS
Can people really identify their favorite brand of cola? Volunteers tasted Coca-Cola... (answered by stanbon)

15.28 Can people really identify their favorite brand of cola? Volunteers tasted... (answered by stanbon)

Can someone please help me with this Chi-square question? Can people really... (answered by stanbon)

15.28 Can people really identify their favorite brand of cola? Volunteers tasted... (answered by stanbon)

Please help. Found the question but the calculations were not available. Thank you in... (answered by stanbon)

Please help me. I need your help desperately. I have tried this question few times and... (answered by stanbon)

Please help me. I am stuck with this question. Can people really identify their... (answered by stanbon)

Need help with this question. Can people really identify their favorite brand of cola? (answered by stanbon)

15.28 Can people really identify their favorite brand of cola? Volunteers tasted... (answered by stanbon)