Major League Baseball is split into six divisions one of whi

Major League Baseball is split into six divisions, one of which is the American League West. While specific teams in each division change often, the four teams currently in the AL West have been present since 1977 (Los Angeles/California Angels, Oakland A

Major League Baseball is split into six divisions, one of which is the American League West. While specific teams in each division change often, the four teams currently in the AL West have been present since 1977 (Los Angeles/California Angels, Oakland A??s, Seattle Mariners, and Texas Rangers). The counts for number of division championships by each team since 1977 are shown in Table 1. We are interested in whether the proportions of championships for the teams are much different than we would expect to see by random chance alone. Are the conditions for conducting a chi-square test met in this case? If they are, conduct the test. Find the Chi-Square value and the p-value.

Solution

Yes, the conditions for conducting a chi-square test are met in this case

The test hypothesis:

Ho: the proportions of championships for the teams are not different than we would expect to see by random chance alone (i.e. null hypothesis)

Ha: the proportions of championships for the teams are much different than we would expect to see by random chance alone (i.e. alternative hypothesis)

observed

expected

O - E

(O - E)