A Flat Tire Excuse I have this multi-part question on an assignment that I don't understand. Hopefully someone can help.
There's a story that 4 students missed their final and asked their professor for a make-up exam claiming a flat tire as their excuse. The professor agreed and put them in separate rooms. The first question of the test was easy and only worth a few points. The second question comprised all of the remaining points and asked "which tire went flat? RF, RR, LF, LR?"


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*Which hypothesis set is true?
HS1: Ho: Students told the truth. HA: Students lied OR
HS2: Ho: Students lied. HA: Students told the truth


I think that HS2 is the correct answer but I'm not certain as I feel like it could be either depending on how you look at it.


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*What is the rejection region of your test?


I know this relies on question 1 but I'm not sure how to move forward in general not to mention that I'm not positive of my answer to question 1.


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*What is the Type 1 error rate alpha of the rejection region you defined?

*After collecting the students answers, how do you define the p-value of such answers for the test?
I'm really so confused about all of this. So I'm really hoping someone can help.

Hm ... how about this:
H0: flat tire
HA: students lied
If H0 holds then the probablity of different answers is exactly 0 (assuming students are in a good memory). 
1) Hence, reject H0 if there are any different answers and the p-value is exactly 0.
2) Keep H0 if answers agree and the power of the test is 1-1/256.
