Question

Suppose someone has told you that he will pay you $500 if you can roll a die and have it land on a 6. You both agree that you will use a virtual die that can be found at this website. Be sure to set it on one die, and not two. You are not certain that using a die such as this virtual die is actually as fair as a normal plastic die and want to justify for yourself that this die does not land on one face more often than any other face. In other words, it would be a terrible thing if this die landed on a 6, fewer times than it landed on any of the other five faces. After all, how can a computer ever be random? It is not like the computer is actually rolling a die. You perform a hypothesis test to see if a computer can be random. So, the question you are asking yourself is this: Does this die land on 6 as often as it lands on any other number? Or, said in a manner that would help you with your null and alternate hypotheses, Does this die land on a six 1/6 (0.167) of the time? You decide to flip the die 50 times and record the number of times the die lands on a 6 out of that 50 times.

#### i did the die and i got the face of 6 (13 times out of 50)

Set up your study: Tell me first what each of following represents; then tell me what number should be labeled with that notation. For example, for alpha, the confidence level:

α    = Confidence Level

        = .05

p      =

        =                                                                                 

n      =

        =         

                                                                               

σ    =

        =                                                                                                                     

Critical Values =

                        =

Before you begin to conduct the test, tell me what your hypotheses should be. First symbolically state it, then state in words what this conceptually means:

Ho

                        Ho says:

H₁:

H₁ says:

Answer 1