Question

random students were surveyed to determine which snacks should be offered at the schools movie night
popcorn has 34 votes
churros has 6 votes
candy has 10 votes there are 400 students at school who will be attending the movie night using this sample, how many students could be expected to order popcorn

Answer 1

To find the expected number of students who would order popcorn based on the survey results, you can use the proportion of votes that popcorn received.

First, add up the total number of votes received:

- Popcorn: 34 votes
- Churros: 6 votes
- Candy: 10 votes

Total votes = 34 + 6 + 10 = 50 votes

Next, calculate the proportion of votes for popcorn:

\[
\text{Proportion of popcorn votes} = \frac{\text{Votes for popcorn}}{\text{Total votes}} = \frac{34}{50}
\]

Now, to find the expected number of students who would order popcorn, multiply this proportion by the total number of students attending:

\[
\text{Expected students for popcorn} = \text{Proportion of popcorn votes} \times \text{Total students} = \frac{34}{50} \times 400
\]

Calculating this:

\[
\text{Expected students for popcorn} = \frac{34}{50} \times 400 = 0.68 \times 400 = 272
\]

Therefore, you could expect approximately **272 students** to order popcorn at the movie night.