Order in choice. Does the order in which wine is presented make a difference? Several choices of wine are presented one at a time and in sequence and the subject is then asked to choose the preferred wine at the end of the sequence. In this study, subjects were asked to taste two wine samples in sequence. Both samples given to a subject were the same wine, although subjects were expecting to taste two different samples of a particular variety. Of the 32 subjects in the study, 22 selected the wine presented first, when presented with two identical wine samples. (a) Although the conditions for the large-sample test were met in Exercise 22.39, show that the conditions for the large-sample confidence interval discussed in this chapter are not met. (b) Are the conditions for the use of the plus four confidence interval met? If so, use the plus four method to give a 90% confidence interval for the proportion of subjects who would select the first choice presented.
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