mcole1
contestada

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.

Respuesta :

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:

[tex]\frac{7}{50}[/tex]

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.

[tex]\frac{Part}{Sample}=\frac{x}{Population}[/tex]

Substitute the respective value in the above formula as shown:

[tex]\frac{7}{50}=\frac{x}{400}[/tex]

[tex]\frac{7}{50}\times 400=x[/tex]

[tex]x=7\times 8[/tex]

[tex]x=56[/tex]

Here, 56 > 50

Hence, the claim of the students that over 50 of the students have likely traveled outside the United States is correct.