MATLAB: An Introduction with Applications
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ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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6.43 Rock-paper-scissors: Rock-paper-scissors is a hand game played by two or more people where players choose to sign either rock, paper, or scissors with their hands. For your AP Statistics class project, you want to evaluate whether players choose between these three options randomly, or if certain options are favored above others. You ask two friends to play rock-paper-scissors and count the times each option is played. The following table summarizes the data:
| Rock | Paper | Scissors |
|---|---|---|
| 43 | 21 | 35 |
Use these data to evaluate whether players choose between these three options randomly, or if certain options are favored above others. Make sure to clearly outline each step of your analysis, and interpret your results in context of the data and the research question.
The hypotheses to test the research question are:
- Ho: people choose rock twice as much as paper
Ha: paper is the best choice - Ho: the distribution is uniform
Ha: this distribution is not uniform - Ho: prock = .43, ppaper = .21, pscissors = .35
Ha: at least one of the probabilities is different
The value of the test statistic is:
(please round to two decimal places)
The degrees of freedom associated with this test are:
The p-value associated with this test is:
(please round to four decimal places)
Discuss the conclusion of the test in the context of the research study:
- The data provide sufficient evidence to claim that rock, paper, and scissors are not chosen equally as often as one another
- The data do not provide sufficient evidence to claim that rock, paper, and scissors are not chosen equally as often as one another
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