Rock-Paper-Scissors, also called Roshambo, is a popular two-player game often used to quickly determine a winner and loser. In the game, each player puts out a fist(rock), a flat hand (paper), or a hand with two fingers extended (scissors). In the game, rock beats scissors which beats paper which beats rock. The question is: Are people more likely to pick rock ? Knowing the frequencies by which the options are selected would give a player a significant advantage. Suppose we are convinced that people choose rock more often than the other two. You want to perform a hypothesis test to support that someone is more likely to choose rock than the other two options. Suppose a Study observed 300 people playing Rock-Paper-Scissors, Their choices for their first turn are shown below: Option Selected Frequency
Rock 165
Paper 96
Scissors 39
3000

Required:
a. State the null and alternative hypothesis for testing the claim that individuals are more likely to pick rock than either paper or scissors. For the null hypothesis think about what happens if they are all equally likely to be picked. Make sure that you include (and define) a parameter in the null and alternative hypothesis.
b. Using a significance level of 0.05, state a conclusion in context of the problem.
c. Explain in context of the problem what a Type I error would mean.