1. Have you ever played rock-paper-scissors (orRochambeau)? It’s considered a “fair game” in that the twoplayers are equally likely to win (like a coin toss). Both playerssimultaneously display one of three hand gestures (rock, paper, orscissors), and the objective is to display a gesture that defeatsthat of your opponent. The main gist is that rocks break scissors,scissors cut paper, and paper covers rock. We investigated someresults of the game rock-paper-scissors, where the researchers had119 people play rock-paper-scissors against a computer. They found66 players (55.5%) started with rock, 39 (32.8%) started withpaper, and 14 (11.8%) started with scissors.We want to seeif players start with scissors with a probability that is differentfrom 1/3.

a) Identify the parameter in the question. (hint: the long-runproportion of …) (1 pts)

b) State the null hypothesis in words. (1 pts)

The null would be a player that starts with scissors is33%

c) State the null hypothesis using symbols. (0.5 pts)

H_O ?=33%

d) State the alternative hypothesis in words. (1 pts)

The alternative would be a player that has scissorswouldn’t be 33%

e) State the alternative hypothesis in symbols. (0.5 pts)

H_a  ??33%

f) What is the value for the statistics? (1 pts) Assign a symbolto this value. (0.5 pts)

z=-4.9

g) Using an “one proportion” applet, find the p-value. Reportyour p-value here: ___0____

(1 pts)

h) Based on this p-value, do we have strong evidence against thenull hypothesis?  (1 pts)

Yes.

i) Summarize the conclusion in the context of the problem. (1pts)