Question

A group of students were asked about their favorite foods. Out of the 50 students surveyed, 30 listed pizza among their favorite foods. At that rate, if 190 students were surveyed, how many would you expect to list pizza as a favorite food?

A) 76
B) 114
C) 142
D) 228

Answer 1

To find the number of students who would list pizza as a favorite food out of a larger sample size, we use the ratio of the number of students who listed pizza as a favorite food out of the total number of students surveyed. The answer is option B) 114.

Step-by-step explanation:

To solve this problem, we need to find the ratio of the number of students who listed pizza as a favorite food out of the total number of students surveyed. We can then use this ratio to predict the number of students who would list pizza as a favorite food out of a larger sample size.

Given that 30 out of 50 students listed pizza as a favorite food, the ratio is 30/50 = 0.6.

To find the number of students who would list pizza as a favorite food out of 190 students, we multiplied 0.6 by 190.

0.6 * 190 = 114.

Therefore, we would expect 114 students to list pizza as a favorite food out of a sample size of 190 students. The answer is option B) 114.