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?" Given in the table are her data. Type of food Count Ramen Tacos Pizza 18 22 39 Hamburgers 21 An appropriate null hypothesis to test whether the food choices are equally popular is = = Ho PR PT PP = PH = 0.25 is the proportion of students in the sample who chose ramen, and so on. Ho μ = 25, where μ = the mean number of students that prefer each type of food. Ho PR PT PP = PH = 0.25, where pR is the proportion of students in the school who would choose ramen, and so on. Ho p = 0.25, where p = the proportion of all students who prefer ramen. HonRnT = np = nH = 25, where ng is the number of students in the school who would choose ramen, and so on.

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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?" Given in the table are her data.
Type of food
Count
Ramen Tacos Pizza
18
22 39
Hamburgers
21
An appropriate null hypothesis to test whether the food
choices are equally popular is
=
Ho PR PT = PP = PH = 0.25 is the proportion
of students in the sample who chose ramen, and so
on.
=
Ho: μ
25, where μ = the mean number of
students that prefer each type of food.
Ho PR PT = PP = PH
-
= 0.25, where pR is the
proportion of students in the school who would
choose ramen, and so on.
Ho : p = 0.25, where p = the proportion of all
students who prefer ramen.
Ho : nr = nr = np = nH
= = 25, where ng is the
number of students in the school who would choose
ramen, and so on.
Transcribed Image Text: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?" Given in the table are her data. Type of food Count Ramen Tacos Pizza 18 22 39 Hamburgers 21 An appropriate null hypothesis to test whether the food choices are equally popular is = Ho PR PT = PP = PH = 0.25 is the proportion of students in the sample who chose ramen, and so on. = Ho: μ 25, where μ = the mean number of students that prefer each type of food. Ho PR PT = PP = PH - = 0.25, where pR is the proportion of students in the school who would choose ramen, and so on. Ho : p = 0.25, where p = the proportion of all students who prefer ramen. Ho : nr = nr = np = nH = = 25, where ng is the number of students in the school who would choose ramen, and so on.
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