Question

Each of 43 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. 28 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)

Answer 1

A majority of people prefer the taste of fresh-brewed coffee means more than 50% of people prefer the taste of fresh-brewed coffee.

(a) H₀: p = 0.5 and H_a: p > 0.50

(b) The test statistics is

z = 1.98

(c)

The p-value is ; 0.0239