A Wine Magazine Wants to Know If Chefs Can Tell

Multiple Choice

A wine magazine wants to know if chefs can tell the difference between duck liver pâté and wet dog food. Eighteen chefs were asked to rate both the pâté and dog food on a scale from 1 to 5, with 1 corresponding to "inedible" and 5 to "very tasty." The results are shown in the following table. Using the p-value approach and α = 0.05, the appropriate conclusion is ________.

A) do not reject the null hypothesis; we cannot conclude chefs have a preference between pâté and dog food
B) reject the null hypothesis; we can conclude chefs have a preference between pâté and dog food
C) reject the null hypothesis; we cannot conclude chefs have a preference between pâté and dog food
D) do not reject the null hypothesis; we can conclude chefs have a preference between pâté and dog food