Consider the following to answer the question(s) below:
Vending machines on a college campus offer a variety of drinks. The purchasing agent believes that each type of drink is equally preferred by students and consequently orders equal quantities. The number of drinks sold from vending machines on this campus for the last six months is shown in the following table.

-What is not true about the expected frequencies?
A) Assuming that the null hypothesis is true, the expected frequencies are equal across the four types of drinks.
B) The value of an expected frequency needs not be an integer. However, in this case they all are equal to 170.
C) We use the total number of observations (680) to calculate the expected frequencies.
D) The expected frequencies are 0.234 (Lemon Lime), 0.291 (Kiwi Strawberry), 0.256 (Tropical Punch), and 0.219 (Grape).
E) The expected frequencies are all equal to (0.25) (680) = 170.

Question

Consider the following to answer the question(s) below:
Vending machines on a college campus offer a variety of drinks. The purchasing agent believes that each type of drink is equally preferred by students and consequently orders equal quantities. The number of drinks sold from vending machines on this campus for the last six months is shown in the following table.
 
-What is not true about the expected frequencies?
A) Assuming that the null hypothesis is true, the expected frequencies are equal across the four types of drinks. 
B) The value of an expected frequency needs not be an integer. However, in this case they all are equal to 170. 
C) We use the total number of observations (680) to calculate the expected frequencies. 
D) The expected frequencies are 0.234 (Lemon Lime), 0.291 (Kiwi Strawberry), 0.256 (Tropical Punch), and 0.219 (Grape). 
E) The expected frequencies are all equal to (0.25) (680) = 170.

Quizplus · Accepted Answer

The expected frequencies for each type of drink are calculated by multiplying the total number of observations (680) by the probability of each type of drink (0.25, since there are four types). Therefore, the expected frequencies are all equal to (0.25) (680) = 170. However, the specific values listed in choice D are incorrect. The correct expected frequencies are 170 for each type of drink, since they are assumed to be equally preferred by students.

Consider the Following to Answer the Question(s) Below