In Data 6.1 on page 367 we see a table, reproduced in Table 7.9, that shows the choices made by 119 players on the first turn of a Rock-Paper-Scissors game. Recall that rock beats scissors which beats paper which beats rock. A player gains an advantage in playing this game if there is evidence that the choices made on the first turn are not equally distributed among the three options. Use a goodness-of-fit test to see it there is evidence that any of the proportions are different from 1/3.

Table 7.9

Option selected............Frequency

Rock ...................................66
Paper .................................39
Scissors .............................14
Total ................................119

In Data 6.1 on page 367

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 the three options selected equally often? Knowing the relative frequencies with which the options are selected would give a player a significant advantage. A study observed 119 people playing Rock-Paper-Scissors. Their choices for the first turn are shown in Table 6.1.