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Statistics - Hypothesis Test Chi Square Test

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. Use α = .05
Research question: Is the correctness of the prediction different for the two types of cola drinkers?

Correct? Regular Coke Diet Coke Row Total
Yes 7 7 14
No 12 20 32
Column Total 19 27 46

A. Choose the Hypothesis

Ho:
H1:

B. Specify the Decision Rule

C. Calculate the Test Statistic

D. Make the Decision. Were the Chi-Square assumptions met?

E. Give an interpretation of the Decision

F. P-value Method
1. Calculate the P-value, what is it?

2. Does that P-value support the Decision in Part D?

Solution Preview

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? (Data are from Consumer Reports 56, no. 8 [August 1991], p. 519.)

Correct? Regular Cola Diet Cola Row Total
Yes, got it right 7 7 14
No, got it ...

Solution Summary

The expert uses a hypothesis test and a chi-square test to predict the differences of the two types of cola drinkers. A complete, neat and step-by-step solution is provided in the attached file.

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