a seventh grade student chooses a random sample of 50 out of 400 students. He finds that 7 students have traveled outside the United States. The students claims that over 50 of the students have likely traveled outside the United States. Is the student correct? Explain.
I would say yes. Basically, if I'm doing this right, he picked 50 out of 400 students, and only 7 have been out of the US. So I divided 400 by 50, which equals 8. Then I did 8 times 7, and got 56.
I'm pretty sure that's how you would do that. Hoped this helped!
Answer:
Yes, the claim of the students that over 50 of the students have likely traveled outside the United States is correct.
Step-by-step explanation:
Consider the provided information.
It is given that out of 50 students 7 students have traveled outside the United States.
This can be written as:
\(\frac{7}{50}\)
Now he claims that over 50 of the students have likely traveled outside the United States.
To find whether he is correct use the formula.
\(\frac{Part}{Sample}=\frac{x}{Population}\)
Substitute the respective value in the above formula as shown:
\(\frac{7}{50}=\frac{x}{400}\)
\(\frac{7}{50}\times 400=x\)
\(x=7\times 8\)
\(x=56\)
Here, 56 > 50
Hence, the claim of the students that over 50 of the students have likely traveled outside the United States is correct.