Question

You want to test if teams wearing green in basketball games win the game more often than we would expect by chance. You randomly assign green and yellow uniforms to teams in 40 basketball games and find that those wearing green won 24 times in your sample. You conduct a test of significance using simulation and you get the following null distribution (given in terms of “proportion of successes”, and also given in terms of “number of success”).

a) Write the null and alternative hypothesis used in this scenario in words and also in symbols.

b) What is the observed statistic including the correct symbol?

c) What is the p-value based on the above distribution of sample statistics?

d) Calculate the standardized statistic. Show your work. Also give the correct symbol for that standardized statistic.

e) Write the literal interpretation of the p-value in terms of the shirt colors (i.e., “If we assume ____, then the probability of _____ is _____.”).

f) State your conclusion about strength of evidence in terms of the shirt colors (i.e., “we have strong evidence…” or “we have moderate evidence…”).

Answer 1