Each of 41 subjects tastes two unmarked cups of coffee and says which he or she

Question

Each of 41 subjects tastes two unmarked cups of coffee and says which he or she prefers. One cup in each pair contains instant coffee, the other fresh-brewed coffee. 26 of the subjects prefer the fresh-brewed coffee. Take p to be the proportion of the population who would prefer fresh-brewed coffee in a blind tasting. Test the claim that a majority of people prefer the taste of fresh-brewed coffee. and Ha P> (a) Ho: p = (b) The test statistic is 1.72 (c) The p-value is (d) Therefore, at the = 0.05 level we can conclude that (Use 2 decimal places) (Use 4 decimal places) The data provides statistical evidence that the majority of tasters prefer the fresh-brewed coffee. o The data does not provide statistical evidence that the majority of tasters prefer the fresh-brewed coffee. o The data provides statistical evidence evidence that the majority of tasters do not prefer the fresh-brewed coffee. o The data does not provide statistical evidence that the majority of tasters do not prefer the fresh-brewed coffee.

Explanation / Answer

a) H0 : p = 0.5  

Ha : p > 0.5

c) p-value = P(t > 1.72) = 0.0466   

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