Question 1) Bob and Dave played well over 250 games of rock paper scissors this year. Bob believes that he would win, lose, or tie with equal frequency, but begins to think that Dave is cheating. Suspecting that the games are not by chance, Bob started to record a random sample of the games (n=21)

Here are the results:

Bob wins: 3

Bob loses: 13

Bob ties: 5

Question 1A) Conduct a Chi Square goodness of fit test so Bob can find some evidence he isn't winning, losing, or tying with equal frequency.

Question 1B) Calculate the test statistic by hand for the Chi Square goodness of fit test.

Question 1C) what is the null and alternative hypothesis in equation and word form?

Question 1D) What are the degrees of freedom we would use?

Question 1E) What is the associated p value for the test statistic (round to the 1000th place)

Question 1F) Can we reject the null hypothesis? Explain in the context of this experiment/situation.