Question

there are 300 seventh - grade students at amayas school. a random sample of seventh - graders were asked if they usually buy lunch from the cafeteria or bring lunch from home. the results showed that 9 students in the sample buy lunch and 16 students bring lunch. approximately what fraction of all seventh - grade students can you expect to buy lunch from the cafeteria?
\\(\frac{9}{25}\\)
how can you estimate the number of seventh - grade students who buy lunch from the cafeteria?
find \\(\frac{9}{25}\\) of 9. find \\(\frac{9}{25}\\) of 16.
find \\(\frac{9}{25}\\) of 25. find \\(\frac{9}{25}\\) of 300.

Explanation:

Step1: Calculate the sample size

The sample size is \(9 + 16=25\) students.

Step2: Determine the fraction of students who buy lunch in the sample

The fraction of students who buy lunch in the sample is \(\frac{9}{25}\). Since the sample is random, we assume this fraction is representative of the entire seventh - grade population.

Step3: Estimate the number of students who buy lunch in the entire seventh - grade population

To estimate the number of students who buy lunch out of \(300\) seventh - grade students, we use the formula: Estimated number \(=\text{Fraction}\times\text{Total number of students}\). So we need to find \(\frac{9}{25}\) of \(300\).

Answer:

Find \(\frac{9}{25}\) of \(300\).