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 } { 300 } \\) \\( \frac { 16 } { 300 } \\) \\( \frac { 9 } { 25 } \\) \\( \frac { 16 } { 25 } \\)

Explanation:

Step1: Calculate the sample size

The sample size is the sum of students who buy lunch and bring lunch. So, \(9 + 16=25\) students.

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

The number of students who buy lunch in the sample is \(9\), and the sample size is \(25\). The fraction is \(\frac{9}{25}\). Since the sample is random, this fraction can be used to estimate the fraction for all seventh - grade students.

Answer:

\(\frac{9}{25}\)