Each of 56 subjects tastes two unmarked cups of coffee and s

Each of 56 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.

(a) H₀: p =  and H_a: p >  

(b) The test statistic is  (Use 2 decimal places)

(c) The p-value is  (Use 4 decimal places)

(d) Therefore, at the = 0.05 level we can conclude that

The data provides statistical evidence that the majority of tasters prefer the fresh-brewed coffee.

The data does not provide statistical evidence that the majority of tasters prefer the fresh-brewed coffee.   

The data provides statistical evidence evidence that the majority of tasters do not prefer the fresh-brewed coffee.

The data does not provide statistical evidence that the majority of tasters do not prefer the fresh-brewed coffee.

Solution