Question:

Last year, a college baseball team played about half of the games at its home stadium and the rest away from home. The results of all of the games are recorded in the two-way table below.

 Home Away Total Win 25 14 39 Loss 8 17 25 Total 33 31 64

The coach believes that the team has a home field advantage, which means that the team is more likely to win games played at its home stadium than away from home. Which of the following provides the best evidence to support the claim that there is a home field advantage for this baseball team?

(A) The team won 76% (25/33) of the home games and 45% (14/31) of the away games.

(B) 39% (25/64) of the games were wins at home, and this was the most frequent outcome.

(C) The team won 61% (39/64) of the games, and played at home for 52% (33/64) of the games.

(D) A home field advantage typically exists for college baseball teams.

Level:

### Standards

8.SP.4: Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables. For example, collect data from students in your class on whether or not they have a curfew on school nights and whether or not they have assigned chores at home. Is there evidence that those who have a curfew also tend to have chores?

S-ID.5: Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.

S-CP.4: Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities. For example, collect data from a random sample of students in your school on their favorite subject among math, science, and English. Estimate the probability that a randomly selected student from your school will favor science given that the student is in tenth grade. Do the same for other subjects and compare the results.