Question

Hypothesis testing is used in football. For instance, a team may think that the referee could be wrong about the other team scoring. The play is reviewed once it is challenged by the team. When it is reviewed the referee is looking for clear evidence or it will be overturned. The null hypothesis (the call on the field is correct) is assumed to be true. P-value or a test statistic is referred to as the "evidence."

How can this be solved using random numbers?

Answer 1

Here, the hypothesis will be as follows...

H₀: The call on the field is True

H_a: The call on the field is not true, i.e the challenge is correct

Say the correct figure is "a"

Then H₀ will be U = a

H_a will be U is not equal to a

Here, we can do a Z statistics or a T statistics based on the sample size in order to find the solution.

If the P value is less than 0.05 (if 95% confidence level is considered), then the null hypothesis can be rejected and on the other hand if the p value is more than 0.05, then the null hypothesis can be accepted.

If you want to use random numbers then a Monte Carlo simulation can be applied in this regard...