You wish to determine whether a friends die is loaded you

Question

You wish to determine whether a friend's die is "loaded." You roll the die 120 times and obtain the following results:

Side coming up: 1 2 3 4 5 6

Number observed: 16 16 10 20 28 30

(a) Give H₀ for this situation (use fractions).

(b) Can a single H₁ be written? (Explain.)

(c) Compute χ2 , complete the test (α = 05), and draw your conclusion regarding this die.

(d) Do these results prove the die is loaded and thus unfair? (Explain.)