Question

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. We would like to test if players choose between these three options randomly, or if certain options are favored above others. What hypothesis test should we conduct to answer this research question?

a. Chi square test of independence
b. Chi square test of goodness of fit
c. Compare two means
d. Compare two proportions

Answer 1

The hypothesis test should we conduct to answer this research question is:

a. Chi square test of independence

Explanation:

The Chi-Square Test of Independence or Association tests the two variables of "if players choose between these three options randomly or if certain options are favored above others." It determines whether there is an association between the two categorical variables, ascertaining whether the variables are independent or related. The chi-squared statistic is computed by taking the difference between a pair of observed values and expected values, and squaring the difference,s and then dividing the squared differences by the expected value. After repeating this process for all the elements involved, the sum is obtained.