Have you ever played rock-paper-scissors (or Rochambeau)? It’s considered a “fai

Question

Have you ever played rock-paper-scissors (or Rochambeau)? It’s considered a “fair game” in that the two players are equally likely to win (like a coin toss). Both players simultaneously display one of three hand gestures (rock, paper, or scissors), and the objective is to display a gesture that defeats that of your opponent. The main gist is that rocks break scissors, scissors cut paper, and paper covers rock. We investigated some results of the game rock-paper-scissors, where the researchers had 119 people play rock-paper-scissors against a computer. They found 66 players (55.5%) started with rock, 39 (32.8%) started with paper, and 14 (11.8%) started with scissors. We want to see if players start with scissors with a long-term probability that is different from 1/3.Using an appropriate applet, find the p-value using a theory-based test (one-proportion z-test; normal approximation). (Round your answer to 2 decimal places, e.g. 0.58.) p-value =

Explanation / Answer

applying chi square goodness of fit test:

for above test statistic 34.101 and (n-1=2) degree of freedom   p value =0.0000

observed Expected Chi square category Probability O E=total*p =(O-E)^2/E rock 1/3 66.000 39.67 17.48 paper 1/3 39.000 39.67 0.01 scissors 1/3 14.000 39.67 16.61 1 119 119 34.101

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.