Question

School cafeteria manager conducted a survey to determine the students’ favorite hot lunch. Five different random samples of 100 students each completed the survey. The results are shown in this table. There are 2,000 students in the school. Based on the survey results, which of the following is closest to the expected total number of students whose favorite hot lunch is 33 grilled cheese?

A) 220 students
B) 500 students
C) 900 students
D) 1000 students

Answer 1

Answer: The proportion of students who like grilled cheese according to the survey is 0.165. Therefore, we can expect that out of the total 2,000 students in the school, approximately 0.165 x 2,000 = 330 students like grilled cheese.

However, since the survey was conducted with a sample size of only 100 students each time, there is a margin of error to consider. The margin of error decreases with increasing sample size, but we can use the conservative estimate of a margin of error of plus or minus 5 percentage points, which gives us a range of 0.115 to 0.215 for the proportion of students who like grilled cheese.

Based on this range, the closest option to the expected total number of students whose favorite hot lunch is 33 grilled cheese would be A) 220 students.

Explanation: