Daniel surveyed a random sample of 100 students from his middle school to learn more about what type of school lunches are preferred. The table below shows the result of the survey:

Hamburgers Spaghetti Pizza
Sample #1 13 43 44
Sample #2 20 41 39

Which of the following inferences can be made based on the data? (5 points)

Pizza is the most preferred lunch.

Spaghetti and pizza are preferred almost equally.

Hamburgers are two times more popular than pizza.

Hamburgers are two times more popular than spaghetti.

3 answers

Pizza is the most preferred lunch based on the data provided, as it received the highest number of votes in both Sample #1 (44) and Sample #2 (39).

Spaghetti and pizza are preferred almost equally, as they both received similar numbers of votes in both Sample #1 and Sample #2.

Hamburgers are more popular than pizza, as they received more votes in both Sample #1 (13) and in Sample #2 (20). However, it cannot be concluded that hamburgers are two times more popular than pizza based on the data provided.

It also cannot be inferred that hamburgers are two times more popular than spaghetti based on the data provided, as the number of votes for hamburgers and spaghetti are relatively close in both Sample #1 and Sample #2.
so whats the answer
Based on the data provided, the following inferences can be made:

1. Pizza is the most preferred lunch.
2. Spaghetti and pizza are preferred almost equally.

Therefore, the correct inferences based on the data are:

- Pizza is the most preferred lunch.
- Spaghetti and pizza are preferred almost equally.