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REGIONAL PREFERENCE FOR PEPSI
To con?rm persistent rumors that the preference for PEPSI on engi- neering college campuses is higher in the Northeast of the United States than on comparable campuses in the Southeast, a survey was carried out on 125 engineering students chosen at random on the MIT campus in Cambridge, MA, and the same number of engineering students selected at random at Georgia Tech in Atlanta, GA. Each student was asked to indicate a preference for PEPSI versus other soft drinks, with the following results: 44 of the 125 at MIT indicate preference for PEPSI versus 26 at GA Tech. At the 5% level, determine whether the North- east proportion, pˆ1 = 0.352, is essentially the same as the Southeast proportion, pˆ2 = 0.208, against the alternative that they are di?erent.
Problems on Sampling Variability and Standard Error and Confidence Intervals
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