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 21 43 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 clearty 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: O Ho: Prock = .43, Ppaper = .21, Pscissors = .35 Ha: at least one of the probabilities is different O Ho: people choose rock twice as much as paper Ha: paper is the best choice O Ho: the distribution is uniform Ha: this distribution is not uniform 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: O The data provide sufficient evidence to claim that rock, paper, and scissors are not chosen equally as often as one another O The data do not provide sufficient evidence to claim that rock, paper, and scissors are not chosen equally as often as one another
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 21 43 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 clearty 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: O Ho: Prock = .43, Ppaper = .21, Pscissors = .35 Ha: at least one of the probabilities is different O Ho: people choose rock twice as much as paper Ha: paper is the best choice O Ho: the distribution is uniform Ha: this distribution is not uniform 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: O The data provide sufficient evidence to claim that rock, paper, and scissors are not chosen equally as often as one another O The data do not provide sufficient evidence to claim that rock, paper, and scissors are not chosen equally as often as one another
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text: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:
O Ho: Prock = .43, Ppaper = .21, Pscissors = .35
Ha: at least one of the probabilities is different
O 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
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:
O The data provide sufficient evidence to claim that rock, paper, and scissors are not chosen equally
as often as one another
O 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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