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seropon [69]
3 years ago
7

250 students out of 3,000 have found that math is their favorite subject among 10 subjects they are studying. If the choice of f

avorite 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?
Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
5 0

Answer:

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

The randomization distribution will also be centred at 0.1

Step-by-step 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!!!

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