there are 300 seventh - grade students at amayas school. a random sample of seventh - graders were asked if…

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? 9/300 16/300 9/25 16/25

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? 9/300 16/300 9/25 16/25

Answer

Explanation:

Step1: Find sample - size

The number of students in the sample is the sum of those who buy lunch and those who bring lunch. So, the sample - size $n=9 + 16=25$.

Step2: Calculate the fraction for the population

We assume that the proportion in the sample is the same as the proportion in the population. The number of students who buy lunch in the sample is 9, and the sample - size is 25. So the fraction of students who buy lunch in the sample (and we expect this fraction to be approximately the same for the whole seventh - grade population) is $\frac{9}{25}$.

Answer:

$\frac{9}{25}$