(08.01)Maggie wants to know how many students in her school enjoy watching sports on TV. She asks all 25 students in her math class and finds that 60% of her classmates enjoy watching sports on TV. She claims that 60% of the school's student population would be expected to enjoy watching sports on TV. Is Maggie making a valid inference about her population?

Yes, it is a valid inference because she asked all 25 students in her math class
Yes, it is a valid inference because her classmates make up a random sample of the students in the school
No, it is not a valid inference because her classmates do not make up a random sample of the students in the school
No, it is not a valid inference because she asked all 25 students in her math class instead of taking a sample from her geography class

I think maybe C or A because we dont know how many students there were total.

Respuesta :

C. The 25 students don't make up a random sample. She asked a certain group of people when she should have wrote names down and pulled them from a hat and ran a simulation to get the best inference.

The statement about the validity of Maggie's inference is given by: Option C: No, it is not a valid inference because her classmates do not make up a random sample of the students in the school

What are the conditions for valid inference about one proportion?

  • Random sample: The sample should be taken randomly.
  • Normal distribution of proportion: The sampling distribution of the proportion we're taking about should be normally distributed.
  • Independent observations: Each of the observations must be independent.

For this case, Maggie is predicting the proportion of students of school who would be enjoying watching sports on TV.

For that, she had to take samples of students randomly from the whole school, irrespective of any group like math students or geography students or a specific class etc.

But she didn't do it. She only asked her math classmates. That makes the inference invalid because of non-random sample.

Thus, the statement about the validity of Maggie's inference is given by: Option C: No, it is not a valid inference because her classmates do not make up a random sample of the students in the school

Learn more about valid inference about proportion here:

https://brainly.com/question/11633957