Summarize, represent, and interpret data on two categorical and quantitative variables.
Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the content of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.
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.
Name: ______________________ #6
Bobby Cox, the longtime manager of the Atlanta Braves, holds the record for most ejections, with 158 (nearly a whole season’s worth of games!). Do the Atlanta Braves have a greater ABILITY to win the day after manager Bobby Cox gets ejected from a game? In an article in Sports Illustrated on July 26, 2010, author Thomas Lake makes such a claim. State the null and alternative hypotheses for investigating this claim.
On August 8, 2009, broadcasters on the Fox TV ‘Game of the Week’ noted that Yankees outfielder Nick Swisher hit 3 home runs at home and 15 on the road. Do these PERFORMANCES indicate that Swisher has a greater ABILITY to hit home runs on the road? State the null and alternative hypotheses for this question.
Describe the error(s) in the following set of hypotheses. Explain how they can be corrected.
Ho: The University of Florida football team PERFORMED equally well at home and on the road.
Ha: The University of Florida football team PERFORMED better at home than on the road.