An appropriate null hypothesis to test whether the food choices are equally popular is

a. H₀: μ = 25 where μ = the mean number of students that prefer each type of food.

b. H₀: p = 0.25 where p = the proportion of all students who prefer ramen.

c. H₀: n_R = n_T = n_P = n_H = 25 where n_R is the number of students in the school who would choose ramen, and so on.

d. H₀: p_R = p_T = p_P = p_H = 0.25 where p_R is the proportion of students in the school who would choose ramen, and so on.

e. H₀: p̂R = p̂_T = p̂_P = p̂_H = 0.25, where p̂_R is the proportion of students in the sample who chose ramen, and so on.

The manager of a high school cafeteria is planning to offer several new types of food for student lunches in the new school year. She wants to know if each type of food will be equally popular so she can start ordering supplies and making other plans. To find out, she selects a random sample of 100 students and asks them, “Which type of food do you prefer: Ramen, tacos, pizza, or hamburgers?” Here are her data:

Select the best answer.

Transcribed Image Text:

Туре of food Ramen Tacos Pizza Hamburgers Count 18 22 39 21