Question

select the correct answer from each drop - down menu. each participant tastes snack a and snack b and then chooses their favorite. some participants have eaten snack a before and some have not. the results of the test are shown in a table. using the data in a table, the company that makes snack a calculates probabilities related to a random selected person.

	prefers snack a	prefers snack b	total
has not eaten snack a before	108	228	336
total	252	320	572

complete the conclusions based on the data in the table. given a person who has eaten snack a before, the customer will
given a person who has not eaten snack a before, the customer will want to eat snack

Explanation:

Step1: Calculate preference probability for those who ate Snack A before

For people who have eaten Snack A before, the number of those who prefer Snack A is 144 and the total number in this group is 236. The probability of preferring Snack A is $\frac{144}{236}\approx0.61$ and the probability of preferring Snack B is $\frac{92}{236}\approx0.39$. Since $0.61>0.39$, they are more likely to prefer Snack A.

Step2: Calculate preference probability for those who didn't eat Snack A before

For people who have not eaten Snack A before, the number of those who prefer Snack A is 108 and the total number in this group is 336. The probability of preferring Snack A is $\frac{108}{336}\approx0.32$ and the probability of preferring Snack B is $\frac{228}{336}\approx0.68$. Since $0.68 > 0.32$, they are more likely to prefer Snack B.

Answer:

Given a person who has eaten snack A before, the customer will prefer Snack A.
Given a person who has not eaten snack A before, the customer will prefer Snack B.