Question

One of the authors and some statistician friends have an ongoing series of Euchre games that will stop when one of the two teams is deemed to be statistically significantly better than the other team. Euchre is a card game and each game results in a win for one team and a loss for the other. Only two teams are competing in this series, which we'l call team 1 and team 2.
Required:
a. Define the parameter of interest.
b. What are the null and alternative hypotheses if the goal is to determine if either team is statistically significantly better than the other at winning Euchre?

Answer 1

Answer:

Parameter of interest is the proportion of games won by a certain team.

H0 : p = 0.5

H1 : p ≠ 0.5

Step-by-step explanation:

Parameter refers to any statistical measure which is derived from the population data. Therefore, the parameter of interest in the scenario described above is the proportion of win or loss by a particular team. This could be either team A or team B.

Probability of either of either win or loss :

Proportion, p of win = 0.5

Null hypothesis ; H0 : p = 0.5

Alternative hypothesis ; H1 : p ≠ 0.5