.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: prock = .43, ppaper = .21, pscissors = .35 Ha: at least one of the probabilities is different Ho: the distribution is uniform Ha: this distribution is not uniform Incorrect The value of the test statistic is: Incorrect (please round to two decimal places) The degrees of freedom associated with this test are: Correct The p-value associated with this test is: (please round to four decimal places) 0.0233 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
.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: prock = .43, ppaper = .21, pscissors = .35 Ha: at least one of the probabilities is different Ho: the distribution is uniform Ha: this distribution is not uniform Incorrect The value of the test statistic is: Incorrect (please round to two decimal places) The degrees of freedom associated with this test are: Correct The p-value associated with this test is: (please round to four decimal places) 0.0233 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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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.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: prock = .43, ppaper = .21, pscissors = .35
Ha: at least one of the probabilities is different - Ho: the distribution is uniform
Ha: this distribution is not uniform
The value of the test statistic is: Incorrect (please round to two decimal places)
The degrees of freedom associated with this test are: Correct
The p-value associated with this test is: (please round to four decimal places)
0.0233
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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