Question

250 students out of 3,000 have found that math is their favorite subject among 10 subjects they are studying. If the choice of favorite subjects was truly random, one out of 10 students would choose math as his/her favorite subject, so p=0.1p=0.1. We are looking to see if pp is less than the expected value of 0.1. Where will the randomization distribution be centerered?

Answer 1

The randomization distribution is created under the assumption that H₀: p = 0.1

The randomization distribution will also be centred at 0.1

Explanation:

If the distribution was truly random, 1 out of 10 students will choose math as his/her favorite subject.

This means that the randomization will have the null hypothesis saying that the proportion of students who will choose maths as their favourite subject = 0.1

Mathematically, it'll be written as

The null hypothesis is given as

H₀: p = 0.1

And the randomization distribution will be centred at 0.1 too.

The alternative hypothesis will now prove the theory they're looking to see in the question that

Hₐ: p < 0.1

Hope this Helps!!!