(a) Test the claim that a majority of people prefer the taste of fresh-brewed coffee. Report the largesample z statistic and its P-value. (b) Draw a sketch of a standard Normal curve and mark the location of your z statistic. Shade the appropriate area that corresponds to the P-value. (c) Is your result significant at the 5% level? What is your practical conclusion?
A matched pairs experiment compares the
taste of instant with fresh-brewed coffee. Each subject tastes two unmarked cups of coffee, one of
each type, in random order and states which he or she prefers. Of the 60 subjects who participate in
the study, 21 prefer the instant coffee. Let p be the probability that a randomly chosen subject prefers
fresh-brewed coffee to instant coffee. (In practical terms, p is the proportion of the population who
prefer fresh-brewed coffee.)
(a) Test the claim that a majority of people prefer the taste of fresh-brewed coffee. Report the largesample z statistic and its P-value.
(b) Draw a sketch of a standard Normal curve and mark the location of your z statistic. Shade the
appropriate area that corresponds to the P-value.
(c) Is your result significant at the 5% level? What is your practical conclusion?
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